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 $x$.

We need to manipulate the equation to get $x$ by itself.

We call this a

**two-step equation**because it took two steps to solve. The first step was to subtract $7$ from both sides, and the second step was to divide both sides by $3$.*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 $\redD2$ back into the original equation:

### Example 2: Variables on both sides

**Solve for $a$.**

We need to manipulate the equation to get $a$ 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 $e$.**

We need to manipulate the equation to get $e$ 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:*