how to solve algebraic equations.

Hello friends, we are asked to solve this equation: a minus 4 all over 5 is equal to 2 minus a over 2. First of all, we are given something like this. Once there is this equation sign, the first thing we need to do is to find the LCM of the denominators. Now, what is the LCM of the denominators? Well, let's solve it this way. The solution, the LCM of the denominators is what? 10. Now, the LCM is what? 10. What we need to do is multiply each term by this 10. What does that mean? This is the first term. So, I'm going to multiply it by this 10 times 10. Then, it's equal to, we have this 2 here, multiply this 2 by 10 again. Okay, minus, minus, you have a over 2. Multiply a over 2 by 10 again. Now that we've done that, we are going to solve it. 5, we cancel 10 to give you what? 2. Then, you have 2, we cancel out the 1. Divide 10 by 2 to give you 5. Now, what do we have here? We have a minus 4 in parentheses with a 2 outside. So, it's functioning as two brackets, right? a-4. It's equal to, 2 times 10 is what? 20. Now, minus a times 5 is what? 5a. So, let's open this bracket. Two times a will give us 2a. Two times minus four is going to give us minus eight. Okay, it equals 20 minus 5a. Now, we are going to combine like terms. Combine like terms. This 2a now, the like term is minus 5a. But this minus 5a, when we move this equation to meet this 2a. This minus sign, we change to what? To a plus sign. So, we are going to have plus 5a here. It's equal to this 20, which is remaining here. This minus 8, we move across the equation to become what? Plus 8. I hope you understood what I did. This 2a is already here. This minus 5 becomes plus 5 when we cross over to meet it. When minus 5 leaves this side, only 20 remain now. When minus 5 left here to come here, 20 remained. That's why I wrote 20 first here. Then, this minus 8 crosses over to join the 20, becoming plus 8. Okay. Alright. Then, you are going to have 2a plus 5a, which will give us what? We have 7a. It equals 20 plus 8, which gives us 28. Now, in order for us to obtain our a, what are we going to do? Divide both sides by 7. But if you have actually followed me to this level, It means that you find what I'm doing interesting. To see more of this, please subscribe to the channel. Alright. Then, let us continue. We have 7a equals 28. We are going to divide both sides by what? 7. Divide both sides by what? 7. So, we are going to have 7a divided by 7 equal to 28 divided by what? 7. So, this 7, we cancel out this 7, and we are left with 8. Okay. So, it means that our a is equal to 28 divided by 7, which gives us 4. And that is your final answer. Have a lovely day and goodbye.