SOLUTION: absolute value |2x + 6| - 4 = 20

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Question 287647: absolute value
|2x + 6| - 4 = 20

Answer by texttutoring(324)   (Show Source): You can put this solution on YOUR website!
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.

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