Simple equation

[00:00:00]X will divide through by two and divide by two, right?

[00:00:05]>> Yeah.

[00:00:06]>> So when I divide through by two, two cancels out. X becomes two. Okay.

[00:00:14]>> Okay.

[00:00:15]>> So X becomes two. That means the value for X here is what?

[00:00:24]The value for X is two.

[00:00:26]>> Okay.

[00:00:27]>> Two.

[00:00:29]>> Okay.

[00:00:31]So let's continue. So let's say we have 6 x - 1 is 5.

[00:00:38]We have this means that a certain number multip by six. When you subtract one from it, you are going to have five. So what we do here is that we add one to both sides and add one to both sides. 6 x - 1 + 1 is what? What is -1 + 1?

[00:00:59]What is -1 + 1?

[00:01:02]What is -1 + 1?

[00:01:06]What is -1 + 1?

[00:01:10]It is zero. Right? So this is half. So we have 5 + 1 is what? What is 5 + 1?

[00:01:19]>> 5 + 1 is 6.

[00:01:21]>> 5 + 1 is 6. That means 6 * a certain number is 6. What then is the value for what? X. So to get it we divide through by six and divide through by six. So when we divide by 6 you see that X is equals to 6 / 6 is what?

[00:01:41]What is 6 / 6?

[00:01:43]>> Huh?

[00:01:50]>> So the value for X is actually what?

[00:01:53]One.

[00:01:55]What do I say? The value for x is what?

[00:01:59]>> One.

[00:02:00]>> The value for x is actually what? One.

[00:02:03]The value for x is actually what? One.

[00:02:07]So this is the simple way we find the value of x. So let's say we are given like 2x - 3 = -1. Okay.

[00:02:22]2x a two when you double a number and you subtract three from it the answer is giving you one. We are actually looking for the value of the number. So what do we do to get the number? It is simple.

[00:02:37]We have our solution.

[00:02:41]Okay. So we have 2x - 3 is -1. So what do we do? We have 2x - 3. We add 3 to both sides. Okay. -1 + 3.

[00:02:55]That is 2x = 2. Because -1 + 3 is what?

[00:03:02]What is -1 + 3?

[00:03:05]What is -1 + 3?

[00:03:09]What is -1 + 3?

[00:03:14]-1 + 3 is 2. So to get x you divide through by two and divide by two. So any time you divide through by two two cancels out you see that x is = 2x 2 is 1. Okay.

[00:03:32]>> Okay. One becomes the what answer?

[00:03:37]Okay.

[00:03:39]>> So let's look at the next one. We have 3 - 1 is 10.

[00:03:46]When you triple a number and you take away one from it, the answer gives 10.

[00:03:52]We're actually looking for the number.

[00:03:55]Okay.

[00:03:57]So, how are we how will we be able to get the number? It is simple. What you do is that 3x this is a minus one. So, what do we do? Do we add one or do we subtract one? Let me know. Do we add one or do we subtract one?

[00:04:13]Do we add one or do we subtract one?

[00:04:18]>> So we what? Add one. - 1 + 1 is 10 + 1.

[00:04:25]>> So -1 + 1 is what?

[00:04:30]- 1 + 1 is what? Z. We have 3 x. So 10 + 1 is what?

[00:04:41]I can't hear you.

[00:04:43]>> 10 + 1 is what?

[00:04:47]>> 10 + 1 is 11.

[00:04:49]>> 10 + 1 is what? 11. Right?

[00:04:54]>> So what do we have? 3x is 11.

[00:04:58]So to get the value of x, I divide by 3 andide by 3. If I divide by 3, x = 11 by 3 is what?

[00:05:09]We can simply convert it to what? A fraction. So when you convert this to a fraction, what do you have?

[00:05:19]>> Um it becomes what? How many times can three go into 11? It can go three times.

[00:05:36]Remaining two over three. So this can be the answer.

[00:05:40]Okay.

[00:05:42]>> Yeah.

[00:05:43]>> Are you understanding what we are doing?

[00:05:47]>> Yeah.

[00:05:47]>> Okay. This is the easiest way to what?

[00:05:51]Deal with what?

[00:05:53]Equations.

[00:05:55]Simple equations are very very simple.

[00:05:59]Okay.

[00:06:01]So we have this uh 3x - 2 is 19.

[00:06:10]At this point we are looking for the value of what? x. So for us to get the value of x it is very very simple. What do we do? 3x - 2 you add 2 is 19. You add 2. That will be that 3x = 19 + 2 is what?

[00:06:33]What is 19 + 2?

[00:06:36]What is 19 + 2?

[00:06:40]>> You said what?

[00:06:43]>> 19 + 2 is 21. So I have it as what? 21.

[00:06:48]So for me to get the value of x, what should I do? I divide by three and divide by 3. So when you divide by 3, x = 21 by 3 is what?

[00:07:04]21 by 3 is what?

[00:07:13]>> 21 by 3 is what?

[00:07:21]>> I said 21 by 3 is what?

[00:07:30]/ 3 is what? What is 21 / 3?

[00:07:37]>> What is 21 / 3?

[00:07:44]>> Okay. 21 / 3 is 7.

[00:07:48]Okay. So, this is actually the value for x. That means 3 * 7 is 21 - 2 to give you 19. Do you understand the trick around it? Now okay, this is the first stage. So the second stage of solving equation is solving simple equation when the variable are on the left hand side and the variable is also on the right hand side. Let me give you an instance. Let's say you have 5x - 7 = 3x - 9.

[00:08:25]At this point you are looking for the value of x that can satisfy the left and the right hand side. Okay.

[00:08:34]So we have solution when you have 5x - 7 is 3x - 9.

[00:08:46]Okay, first thing you do is to collect like terms. So that's 5x - 7. You add seven to both sides first. That's 3x - 9. You add seven. You see I added seven here and I added what? Seven this side.

[00:09:02]Okay.

[00:09:07]>> So that gives you 5x= - 7 + 7 is 0. We have 3 x then - 9 + 7 is what?

[00:09:18]What is - 9 + 7?

[00:09:22]>> What is - 9 + 7?

[00:09:27]>> What is - 9 + 7?

[00:09:34]>> It becomes what? -2. Correct?

[00:09:38]>> Okay.

[00:09:39]>> Yeah.

[00:09:39]>> So the next thing is to collect like terms. 5x - 3x = 3x crossed you have it as - 2. So 5x - 3x is what?

[00:09:54]5x - 3x is what?

[00:10:01]5x - 3x is what?

[00:10:06]>> 2x 2x and -2, right?

[00:10:12]Yeah.

[00:10:13]>> So, what should I do next? What should I do next? Can you tell me what should I do next?

[00:10:21]What should I do next?

[00:10:24]What should I do next?

[00:10:28]What should I do next?

[00:10:30]>> Is it 2x?

[00:10:33]>> Divide both side by two and divide by two.

[00:10:38]So when you divide both side by 2, x cancels out. -2 / 2 will give you what?

[00:10:46]So the only value for x that can satisfy this equation is that x must be what?

[00:10:53]That x must be what? -1. Correct for saying divide both side by two. Correct.

[00:11:00]Correct.

[00:11:01]X will be what?

[00:11:04]So this is how we solve simple equations when the variables are on both sides of the equation.

[00:11:13]Let's look at this. 9x - 10 = 4x + 15.

[00:11:20]Okay, here we are trying to find the value of x that can satisfy this simple equation. Do you understand?

[00:11:32]Okay. So first thing first all we have to do is to collect like terms. We start by collecting the like terms of the numbers. So what do I do? 9x - 10 I add 10 to both sides is equals to 4x + 15 I add 10. Okay.

[00:11:53]>> Okay.

[00:11:53]>> So -10 + 10 is what? Z. So I have it that 9x is = 4x. What is my 15 + 10?

[00:12:05]What is 15 + 10?

[00:12:08]What is 15 + 10?

[00:12:11]What is 15 + 10?

[00:12:14]What is 15 + 10? 15 + 10 is what?

[00:12:18]>> 25 >> is 25.

[00:12:21]>> 25.

[00:12:22]>> Correct. So the next thing is to collect the numbers. So what do I do? 9x - 4x is = 25 because - 4x will cross the equality sign. Okay.

[00:12:39]Okay.

[00:12:42]>> 9x - 4x is what?

[00:12:49]9 is 5 x.

[00:12:54]So 5x is 25. So to get the value of x, what are we doing? What should we do to get the value of x?

[00:13:03]What should we do to get the value of x?

[00:13:08]>> We divide both sides.

[00:13:12]>> Okay.

[00:13:14]We divide both side by what?

[00:13:19]>> Divide both side by five and divide by five. So when you divide by five, x= 25 by 5 is what?

[00:13:31]What is 25 / 5?

[00:13:39]>> What's 25 / 5?

[00:13:45]>> Uh 25.

[00:13:49]>> 25 / 5 is 5. So x is five. Do you understand?

[00:13:58]Do you understand?

[00:14:04]>> Okay. So this is actual way to solve simple equations. Okay.

[00:14:12]It is very very easy. Let's look at 10 x - 2 = 2x + 6. Okay. 10 x - 2 is the same thing as 2x + 6. So our goal here is to find the value of x. So to find the value of x is actually very easy.

[00:14:36]The first thing you got to do is to collect the like terms of the numbers.

[00:14:41]So here we have 10 x - 2. What do you do? You are going to do what? Add two to what? Both sides. And that's equals to 2x + 6 + 2. Okay.

[00:14:58]>> Okay.

[00:14:59]>> Okay. So if you have that, what do you do? You have 10 x - 2x + 2 is what?

[00:15:08]Zero. That's out, right?

[00:15:11]>> Yeah.

[00:15:12]>> Okay. And that's equals to 2x. What is 6 + 2?

[00:15:19]What's the value for 6 + 2?

[00:15:23]>> What's the value for 6 + 2?

[00:15:29]>> Uh 6 + 2 is 8.

[00:15:33]>> 6 + 2 is what? 8.

[00:15:36]>> 8.

[00:15:37]>> Okay. So, we collect like terms again.

[00:15:40]So, 10 x subtract 2x from both sides - 2x is = 8. Okay.

[00:15:50]Okay.

[00:15:53]Okay.

[00:15:55]>> Okay.

[00:15:56]>> So, 10 x - 2x is what? 10 x - 2x is what?

[00:16:03]>> What is 10 x - 2x?

[00:16:07]What is 10 x - 2x?

[00:16:13]>> What is 10 x - 2x?

[00:16:18]You have it as 8x and that's equals to 8, right?

[00:16:24]>> Yeah.

[00:16:25]>> So the next thing we do is to divide by the coefficient 8 andide by 8. So 8 by 8 is now out. So x is = 8 by 8 is one.

[00:16:35]Okay.

[00:16:39]>> Do you have any question?

[00:16:44]Are you understanding the topic now?

[00:16:48]>> Yeah.

[00:16:49]>> Okay. So, anything you want to share, let me know. Okay.

[00:16:58]>> Okay. So, let's look at this. 7 x - 2 is = 5x + 12.

[00:17:07]7 x - 2 = 5 x + 12. What's the value for x? You have solution, right?

[00:17:18]So 7 x - 2 is 5x + 12. That's the actual question. So the next thing we do is to get rid of the 12 the two. To do that, what do we do? We add two to both sides.

[00:17:33]So what do you get? 7 x - 2 + 2 is 5 x + 12 + 2.

[00:17:42]Okay.

[00:17:45]>> Okay. So that will give you 7 x is what?

[00:17:50]5 x 12 + 2 is what?

[00:17:56]What is 12 + 2?

[00:18:00]>> 12 + 2 is 14.

[00:18:04]>> 12 + 2 is 14.

[00:18:09]Okay. Then the next thing you do is to do what? Subtract 5x from what?

[00:18:19]Subtract 5x from what?

[00:18:23]5x from what?

[00:18:29]Subtract 5x from what?

[00:18:35]>> And that's 14, right?

[00:18:39]>> Yeah.

[00:18:40]Okay. 7 x - 5x is what?

[00:18:50]>> Is 2x.

[00:18:53]2x is 14. Right.

[00:18:57]>> Yeah.

[00:18:58]>> So we have to look for the value of x by dividing by two and dividing by two. So when you divide by 2, x= 14 by 2 is what?

[00:19:11]Seven.

[00:19:11]>> 14 by 2.

[00:19:14]>> 28.

[00:19:16]>> Ah, I didn't say times. Divide. Divide by two is seven. Okay.

[00:19:22]>> Yeah. Any question for me?

[00:19:28]>> Do you have any question for me?

[00:19:32]>> No.

[00:19:37]>> Okay. Let's look at this. 9 x - 1 is 8 x + 2. Right?

[00:19:46]Right.

[00:19:48]>> 9x -1 is = 8 x + 2. Right.

[00:19:54]>> Yeah.

[00:19:55]>> Okay. So, how do we get the value of x?

[00:20:00]>> Um, >> it is very simple.

[00:20:03]We have to do 9x - 1. We add one to both sides and that's 8 x + 2. We add one to both sides, right?

[00:20:15]>> Yeah.

[00:20:16]>> Okay. So that will be 9 x - 1 + 1 is what?

[00:20:24]- 1 + 1 is what is z. So we cross it out and that's equals to 8 x 2 + 1 is what?

[00:20:40]>> What's the value for 2 + 1?

[00:20:45]>> 2 + 1 is 2.

[00:20:48]>> 2 + 1 is what?

[00:20:52]>> 3.

[00:20:55]So we have 9 x - 8 x is 3. So 9 x - 8 x is what?

[00:21:05]>> What is 9 x - 8 x?

[00:21:09]>> Um um >> 9 x - 8 x is what?

[00:21:19]>> Is it one?

[00:21:20]>> Yeah, that's x.

[00:21:23]So we say that x is three. Okay.

[00:21:28]>> Okay. Any question?

[00:21:40]>> Are you understanding the topic?

[00:21:45]>> Yeah.

[00:21:46]>> Okay.

[00:21:48]So, let's look at this again.

[00:21:52]We have 4x - 7 is 2x + 5, right?

[00:22:02]>> 4x - 7 is 2x + 5. Right? That's the next question, right?

[00:22:09]>> Okay. So, what do we do to get the value of x?

[00:22:14]We have to collect like terms, right?

[00:22:18]>> Yeah.

[00:22:19]>> Okay. So, what do you do? 4x - 7. What should I do here?

[00:22:26]What should I do here?

[00:22:32]What should I do here?

[00:22:34]I add seven, right?

[00:22:38]>> Yeah.

[00:22:39]>> And that's equals to 2x + 5. I should also add what? What should I add again?

[00:22:48]What should I add again?

[00:22:51]We should add a five.

[00:22:54]>> Okay. So, I have 4x = 2x. 5 + 7 is what?

[00:23:00]What's 5 + 7?

[00:23:02]>> 12.

[00:23:03]>> 5 + 7 is what?

[00:23:07]5 + 7 is what?

[00:23:09]>> Huh?

[00:23:11]>> 12.

[00:23:12]>> 12.

[00:23:14]Good. So, the next thing is 4x - 2x is 12, right?

[00:23:22]>> Yeah.

[00:23:24]>> So, 4x - 2x is what?

[00:23:32]>> Um, >> is 2x and that's 12, right?

[00:23:43]>> So, we divide by two and divide by two.

[00:23:46]So when you do 2x 2, x = 12 by 2 is what?

[00:23:54]12 by 2 is what?

[00:23:59]12 by 2 is what?

[00:24:04]12 by 2 is what?

[00:24:12]12 by 2 is what?

[00:24:17]What is 12 by 2?

[00:24:25]>> 12 by 2 is what?

[00:24:32]>> Divided not multiplied. 12 / two is this. Yeah. So the answer is six. Okay.

[00:24:46]Okay. So let's look at this. 4x - 1 = 3x + 3. Okay.

[00:24:55]What is the value for x? It's simple. So we have solution.

[00:25:03]When you have 4x - 1 is 3x + 3.

[00:25:09]What you have to do is that you add one to both sides. So 4x -1 + 1, right?

[00:25:18]>> Yeah.

[00:25:18]>> So and this is = 3x + 3 + 1. Okay.

[00:25:25]>> Okay.

[00:25:26]>> So that will be 4x = 3x + 4. All right.

[00:25:37]>> Yeah. So 4x - 3x = 4. So 4x - 3x is what? What's the answer?

[00:25:47]4x - 3x is what?

[00:25:51]What is 4x - 3x?

[00:25:55]>> 4x - 3x is 1 x is 4.

[00:26:11]So is what? One. Okay.

[00:26:15]>> Yeah.

[00:26:16]>> Okay. So that becomes the what answer.

[00:26:20]All right.

[00:26:22]>> 6x - 2 is 4x + 8. All right.

[00:26:31]So what do we do? What do we do here?

[00:26:34]We have 6 x - 2. You add 2. And that's 4x + 8. You add 2, right?

[00:26:45]>> Yeah.

[00:26:46]>> Okay. That's what 6 x = 4x. 8 + 2 is what?

[00:26:54]What is 8 + 2?

[00:26:57]>> 8 + 2 is 10.

[00:27:00]>> 8 + 2 is what?

[00:27:09]So 6x = - 4x = 10, right?

[00:27:19]>> Yeah.

[00:27:20]>> Okay. That will now be 2x = 10, right?

[00:27:26]>> Yeah.

[00:27:31]Go through by two and go through by two.

[00:27:34]You see that x is equals to 10 by 2 is what?

[00:27:40]>> Uh five.

[00:27:41]>> What is 10 by two?

[00:27:45]>> 10 by two is five.

[00:27:47]>> 10 by two is five. Correct.

[00:27:52]Okay.

[00:27:54]So this is the value for what? x. Very simple.

[00:28:02]So let's look at the next one. We have 2x - 1 is 3x + 5. Okay.

[00:28:14]>> Okay. To solve this, this is very simple. You have it as 2x - 1, you add one. And that's 3x + 5. You add one.

[00:28:25]Okay.

[00:28:27]Okay.

[00:28:28]>> Okay.

[00:28:30]That's 2x = 3x + 5 + 1 is what?

[00:28:37]5 + 1. Fastest finger. 5 + 1.

[00:28:43]Are you sure? 5 + 1.

[00:28:49]5 + 1 is 6. So we have 2x - 3x is 6. So 2x - 3x is what?

[00:29:05]>> Huh?

[00:29:10]>> It's basically - x is 6. That's x is - 6, right?

[00:29:19]>> Yeah.

[00:29:20]>> X is what?

[00:29:23]My name is >> Okay. Do you have any question for me?

[00:29:30]>> No.

[00:29:31]>> Okay. How how is the class