# Multi-step equations review

To solve an equation we find the value of the variable that makes the equation true. For more complicated, fancier equations, this process can take several steps.

When solving an equation, our goal is to find the value of the variable that makes the equation true.

### Example 1: Two-step equation

Solve for .

We need to manipulate the equation to get by itself.

We call this a

**two-step equation**because it took two steps to solve. The first step was to subtract from both sides, and the second step was to divide both sides by .*Want an explanation of why we do the same thing to both sides of the equation? Check out this video.*We check the solution by plugging back into the original equation:

### Example 2: Variables on both sides

**Solve for .**

We need to manipulate the equation to get by itself.

The answer:

Check our work:

*Want to learn more about solving equations with variables on both sides? Check out this video.*

### Example 3: Distributive property

**Solve for .**

We need to manipulate the equation to get by itself.

The answer:

Check our work:

*Want to learn more about solving equations with the distributive property? Check out this video.*

## Practice

*Want more practice? Check out these exercises:*