SOLUTION: |x-1|=-5x+10

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Question 991855: |x-1|=-5x+10
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
|x-1|=-5x+10

Case 1: x-1 is not negative, x-1 ≥ 0
                               x ≥ 0
x-1 = -5x+10
 6x = 11
  x = 11/6

That is a solution since 11/6 ≥ 0

Case 2: x-1 is negative, x-1 < 0
                           x < 1

-(x-1) = -5x+10
  -x+1 = -5x+10
    4x = 9
     x = 9/4

But 9/4 < 1 is false, so we discard this solution.  

Only one solution,

x = 11/6

Edwin