SOLUTION: |x-5|=|2x-1|

Algebra ->  Absolute-value -> SOLUTION: |x-5|=|2x-1|      Log On


   



Question 71730: |x-5|=|2x-1|
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
|x-5| = |2x-1|
:
Remove the abs
x - 5 = +(2x - 1)
x - 5 = 2x - 1
x -2x = - 1 + 5
-x = +4
x = - 4
And
x - 5 = -(2x - 1)
x - 5 = -2x + 1
x + 2x = 1 + 5
3x = 6
x = +2
:
Check both solutions in original equation