Algebraic Equations for Middle School

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Algebraic equations for middle school will begin working with the concepts of variables. Find out about algebraic equations for middle school with help from an experienced math professional in this free video clip.

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Video Transcript

Hi, I'm Drew Moyer and this is algebraic equations for middle school. Learning how to simplify and solve algebraic equations is one of the most vital skills for any beginning algebra student and it follows two simple rules, one, we want to isolate the variable, that is get the variable all alone on one side and we want to do the same thing to both sides. So whatever I do to one side I have to do to the other. Let's take a look at our equation. We have 5X minus 15 equals 3X minus 1. The first thing I want to do is get all my constants or regular numbers onto the right side of the equation. So I see this 15 on the left side and I want to move it over to this side and since it's being subtracted, I have to add it to both sides. So I add 15 here and I add 15 here and what I'm left with is 5X because that didn't change, equals 3X, that didn't change and here I have a negative 1 plus 15 which is 14 so I write a positive 14. The next thing I want to do is move this 3X on the right side over to the left side so that it can be combined with the 5X and since it's being added right now it's positive. I have to subtract it. So, I'm going to subtract 3X from both sides and I'm left with 5X minus 3X is 2X, 3X minus 3X cancels out and I'm left with a positive 14 because that didn't change. And now, the only thing left to do is to get this X by itself and right now, it's being multiplied by 2. So, to get rid of it, I have to divide it by 2 and whatever I do to one side, I have to do to the other. So, the 2s cancel and I'm left with X equals 14 divided by 2 which is 7. So I'm Drew Moyer and this is algebraic equations for middle school.


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