Question

How to solve |2x-4|=8

Answer 1

Ok... let's break it apart and put it back together.

There's an absolute value... "2x-4" is inside the absolute value. The absolute value of "2x-4" is equal to the value of 8... so find x.

There are TWO cases:

(2x-4)=8
    OR
 -(2x-4)=8 

Now you should be able to solve it. If you can't... well, just ask me below. I can't do ALL the work, can I?
 :P

Answer 2

|2x - 4| = 8 ⇔ 2x - 4 = -8 or 2x - 4 = 8  |add 4 to both sides

2x = -4 or 2x = 12    |divide both sides by 2

x = -2 or x = 6