How to Solve Algebra Problems With Two Variables on the Same Side

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Solving algebra problems with two variables on the same side will require you to isolate those variables. Solve algebra problems with two variables on the same side with help from an experienced mathematics educator in this free video clip.

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Video Transcript

Hi, my name's Marija. And today, I'm going to show you how to solve algebra problems with two variables on the same side. For example, if you're given an equation such as five-X minus three minus two-X equals 12. What we're going to do is combine the variables first. So, if there's two variables on the same side that are here, the five-x and two-X. You want to combine them, and combine I mean add or subtract. So, we have a five-X and a minus two-X. It's important to look at the sign before the variable in the term. So, when we combine these, it means that I'm doing five minus two, which is three. And I'm keeping my variable X. So, before there were two variables on one side, now I've combined them and made them into one. I bring down the rest of the problem that I didn't use, the negative three, the equals and the 12. And now, I have a two step equation which only has one variable. So, I solve it as I would any other. I do inverse operations, add three on both sides. I bring down my three-X, I bring down my equal sign, these cancelled out and I have 15. I'm not done because X is still not alone, so I'm still using inverse operations. And the inverse of multiplication is division. So, I divide by three on both sides. And when I do that, I get X equals five, so, my solution is five. And the difference between checking a regular two step equation and one that has two variables on one side. Is that now when I go to substitute back in, I'd have to put this five in here as well as in here. And when you do that, it'll work out. And you check and you'll see that you solved it correctly.

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