SOLUTION: What is the solution set of the equation , |x|-4=3x

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Question 345574: What is the solution set of the equation , |x|-4=3x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28x%29-4=3x
x-4=3x and -x-4=3x
2x=-4 and 4x=-4
x=-2 and x=-1
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Verify both solutions.
abs%28-2%29-4=3%28-2%29
2-4=-6
False, this is not a solution.
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abs%28-1%29-4=3%28-1%29
1-4=-3
-3=-3
True, this is the only solution.
highlight%28x=-1%29
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Graphical verification also,
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