# How do you solve and check for extraneous solutions in #abs(x + 6) = 2x#?

##### 1 Answer

Aug 2, 2015

#### Explanation:

Your absolute value equation looks like this

Right from the start, you can say that any *negative* value of **positive**.

So, you need to check two cases for your equation

*If*#(x+6)>0# ,*you have*

The equation becomes

*If*#(x+6)<0# ,*you have*

The equation will be

This solution will be extraneous because it implies that the absolute values of

The first solution is valid, since you have