# How do you solve # abs(4x - 2) = 10 #?

##### 1 Answer

Aug 8, 2015

#### Explanation:

You're dealing with an absolute value equation, which means that you need to take into account two possibilities for the *modulus*

*if*#4x-2>=0# ,*you have*

#|4x-2| = 4x-2#

and the equation becomes

*If*#4x-2<0# ,*then you have*

#|4x-2| = -(4x-2) = -4x+2#

and the equation becomes

So, your equation has two possible solutions: