Question 660034
|2x-3| +1 =4x
solve for x under 2 possibilities
(2x-3) +1 =4x
2x-3 +1 =4x
2x=-2
x=-2/2=-1
check:
|2x-3| +1 
=|4/3-9/3| +1 
=|-5/3| +1
=5/3+1
=8/3≠4
Therefore, reject solution: x=-1
..
-(2x-3) +1 =4x
-2x+3 +1 =4x
6x=4
x=4/6=2/3
check:
|2x-3| +1=|4/3-9/3| +1=|-5/3| +1=5/3+3/3=8/3 
4x=4*2/3=8/3
left side=right side
solution of x=2/3 ok