How to solve |2x-4|=8

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

|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