http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_AbsoluteValueEquations.xml
1. |x + 1| = 4

x+1=4
x=3
x+=-4
x=5

The Solutions are x=3 and x=-5
2. |2x - 3| = x – 5

2x-3=x-5
x-3=-5
x=-2
2x-3=-(x-5)

2x-3=-x+5

3x-3=5

3x=8

x=8/3
The Solutions are x = -2 and x = 8/3