# How do you solve #abs(8x+8) = abs(9x-4)#?

##### 2 Answers

#### Answer:

Split into cases for intervals

#### Explanation:

Split into cases:

**Case 1:**

Equation becomes:

Add

This lies outside

**Case 2:**

Equation becomes:

Add

Divide both sides by

This does lie in

**Case 3:**

Equation becomes:

Add

This does lie in

#### Answer:

#### Explanation:

Two numbers have the same absolute value when the numbers are equal or they are opposites (negatives) of each other.

if and only if:

Solving

Solving

and then

The solutions are: