# Solving Equations

### One Step Equations

## Follow the Steps:

**variable**that you are solving for

**by itself**on

**one**side of the equation.

**opposite mathematical operation**.

**Whatever**you do to

**one side**of the equation, you MUST do to the

**other side**of the equation. This keeps the equation balanced!

## Let's Take a Closer Look

Solve for x in the equation: x + 3 = 7 Since I want to get x by itself, I need to remove the 3.

x + 3 - 3 = 7 - 3 The opposite of plus threee is minus three, and whatever I do to one side, I must do the the other side. So I subtracted 3 from both sides.

x = 4 On the left side, 3 - 3 is 0; that is how we got x by itself. On the right side 7 - 3 is 4 so x = 4.

Always check: Substitute 4 for x in your equation. x + 3 = 7

Since x is 4 I substitue 4 for x and my equation reads 4 + 3 = 7, 7 = 7.

So my answer is correct.

## Vocabulary

equation

inverse operations

variable