# How do you solve and check for extraneous solutions in #abs(2x + 3) = 5#?

##### 1 Answer

Aug 1, 2015

There are

#### Explanation:

**SOLVE**

We need to write two different equations without the absolute value symbols and solve for

These equations are:

**(1): **

**(2): **

**Solve Equation 1:**

Subtract

Divide each side by

**Solve Equation 2:**

**

Remove parentheses.

Add

Divide each side by

**CHECK FOR EXTRANEOUS SOLUTIONS:**

If

If

There are no extraneous solutions.