Answer
The solution set is {0,10}.
Work Step by Step
In order to make the equations equal to each other, we must creat two seperate equations due to the absolute value rule.
4x-5=3x+5
4x=3x+5+5
4x=3x+10
4x-3x=10
x=10
and
-4x+5=3x+5
-4x-3x+5=5
-7x=0
x=0
So the solution set is {0,10}.