# Solving Equations

### One Step Equations

• Your goal is to get the variable that you are solving for by itself on one side of the equation.
• Example: x = _____

• To eliminate a term on one side of the equation, you use the 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!

• Always check your answer by substituting the value back into the original equation.
• ## 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.

## Vocabulary

equation

inverse operations

variable