How do you solve #abs(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\Rightarrow 3x=11\Rightarrow x=11/3#

#3x-6=-5\Rightarrow 3x=1\Rightarrow x=1/3#

So #x=11/3# and #x=1/3# are the two solutions of #|3x-6|=5#, but that's not how you wrote your original question.

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