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| 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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