How do you solve |3x−6|=−5?

1 Answer
Bill K.
Jul 30, 2015

There are no solutions.

Explanation:

The absolute value of a number is never negative.

If the problem had been |3x−6|=5 instead, there would have been two solutions: the unique value of x where 3x−6=5 and the unique value of x where 3x−6=−5.

3x−6=5⇒3x=11⇒x=113

3x−6=−5⇒3x=1⇒x=13

So x=113 and x=13 are the two solutions of |3x−6|=5, but that's not how you wrote your original question.

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