Answer
The solution set is {9,-1/2}.
Work Step by Step
Using the absolute value property, you need to form two seperate equations.
5x-7=3x+11
5x-7+7=3x+11+7
5x=3x+18
5x-3x=3x-3x+18
2x=18
2x/2=18/2
x=9
5x-7=-3x-11
5x-7+7=-3x-11+7
5x=-3x-4
5x+3x=-3x+3x-4
8x=-4
8x/8=-4/8
x=-1/2
The solution set is {9,-1/2}.