2|3x-5|-8=8

Answer 1

2(3x-5)= 16
6x -10 = 16
6 x = 26
x = 13/3
and
2(-3x+5) =16
-6x + 10 = 16
6 x = -6
x = -1

Answer 2

or, look at it like this:

2|3x-5|-8=8
2|3x-5| = 16
|3x-5| = 8
|x - 5/3| = 8/3

so, x = 5/3 ± 8/3
x = 13/3 or -1

or, you can use the "extraneous root" introduced by squaring both sides.

|3x-5| = 8
(3x-5)^2 = 64
3x-5 = ±8
3x = 5±8
x = 5/3 ± 8/3