Question

What is the solution set for |-4x - 8| = 4?

Answer 1

Consider $$|-4x-8|=|-4(x+2)|=4|x+2|$$ hence our equation boils down to \(4|x+2|=4\Leftrightarrow|x+2|=1\). Clearly we either have \(x+2=1\) or \(x+2=-1\) and solving both yields either \(x=-1\) or \(x=-3\).

Answer 2

Thank you so much