Solving algebra equations with variables on both sides is really tough. But, you will have no problems solving these equations after you follow the step-by-step instructions in these 3 examples.
So far, you've learned how to solve one-step equations, two-step equations, and equations with fractions. If you haven't mastered these skills or need a refresher, please go back and review these lessons before attempting this one! It will be so much easier if you have the background!
So, if you are ready, let's move on!
Solving algebra equations with variables on both sides look intimidating, but they really aren't that hard if you have the background skills. In fact, I think these types of equations are fun because it's like moving pieces of a puzzle around.
This is what you need to remember:
Let's take a look at a few examples.
Did you notice how we used all of the rules we learned in previous lessons?
Remember, our goal is to get all of the variables on one side and all the constants on the other side.
This next example shows how to solve if the distributive property is involved.
Yes, this is a confusing topic, so if you are still having trouble, check out example 2 on video.
Now let's see what happens when we bring it all together and try to solve an equation that has fractions and variables on both sides!
It doesn't look too hard, does it? Remember: it's like moving puzzle pieces around - all the variable terms on one side and all the constant terms on the other side!