SOLUTION: |2x-3| +1 =4x

Question 660034: |2x-3| +1 =4x
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
|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
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