Question 488719
|x-1| = 5x + 10
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Draw a number line.
Plot x = 1 on the line
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If x < 1, x-1 is negative.
So |x-1| = 1-x
Solve: |x-1| = 5x+10
1-x = 5x+10
6x = -9
x = -3/2
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If x > 1, x-1 is positive.
So |x-1| = x-1
Solve: x-1 = 5x+10
4x = 11
x = 11/4
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Cheers,
Stan H.