Basic Algebra/Solving Equations/Solving Multi-Step Equations

Lesson

A multi-step equation is an equation that needs two or more steps to do. Our goal is to let the variable to be on its own on one side of the equal sign. You have to get rid of the numbers other than the variable on the side before the equal sign. If you do anything to a side you have to do the same thing on the other side. Solving multi-step equation is just like solving a one-step equation with more steps.

Example Problems

Solve 4 x - 5 = 15

First we must get rid of the five by addition on both sides.

4 x - 5 = 15
4 x - 5 + 5 = 15 + 5
4 x = 20

Then divide four on both sides.

4 x = 20
4 x ÷ 4 = 20 ÷ 4
x = 5

We found our answer, x = 5

Solve 3 x + 6 = 27

First we must get rid of the 6 by subtraction on both sides.

3 x + 6 = 27
3 x + 6 - 6 = 27 - 6
3 x = 21

Then we have to divide by three on both sides.
3 x = 21
3 x ÷ 3 = 21 ÷ 3
x = 7

The Answer is, x = 7

Practice Games

put links here to games that reinforce these skills

Practice Problems

3x-8=7

x=