Question 287647
First, get the absolute value by itself on the left side, by adding 4 to both sides of the Equation:

|2x+6| = 24

The absolute value sign means you have to consider two cases:


Case 1: the stuff inside the absolute value sign is positive:


2x+6=24
2x=18
x=9


Case 2: the stuff inside the negative value sign is negative:


-(2x+6)=24
-2x-6=24
-2x=30
x=-15


So there are two answers, x=9 or x= -15.