Solving Algebra Equations with Variables on Both Sides

This is it! Our last type of equation to solve before applying our knowledge to solve real world problems! Yes... the whole reason we are learning to solve these equations!

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!

This is what you need to remember:

Let's look at a few examples.

Example 1

This next example shows how to solve if the distributive property is involved.

Example 2

This last example shows how to solve if fractions are involved.

Example 3

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!

Here's a few practice problems for you to try!

Variables on Both Sides Practice Problems

Answer Key for Variables on Both Sides

Otherwise, I think you are ready to move onto Solving Algebra Equations within Word Problems!