Question

How do you solve `abs(3x - 6)= -5`?

Answer 1

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.