Let's solve the problem below together!
2x + 5 − 3 = 8
Step 1: Isolate the absolute value
New equation  2x + 5 = 11 (add 3 to each side)
Step 2: Make two equations, One positive & One negative
Positive 
Negative 


2x + 5 = +11 
2x + 5 = −11 
2x = 6 
2x = −16 
x = 3 
x = −8 
Step 3: Solve each equation
Notice above, the two answers are x = 3 and x = −8.
If you are curious as to why I changed the sign of the number on the right instead of the quantity on the left, it was simply to make things easier. In effect, it is the same as dividing both sides by −1.
For an additional challenge, try solving absolute value inequalities. Otherwise, take another look at an absolute value equation. 