Question

Solve the absolute value equation 2|3x-5|-8=8.

Answer 1

Here you have two equations because of the two conditions:

1) 3x-5 >= 0 . Then equation becomes:
2*(3x-5)-8 = 8
6x-10-8= 8
6x = 26 --> x=13/3


2) 3x-5<0 ---> |3x-5| = -(3x-5) = 5-3x. Then equation becomes:
2*(5-3x)-8 = 8
10-6x-8=8
-6 = 6x ---> x = -1

x = 13/3 and x= -1 are the solutions

Answer 2

Thank you!