Question

find the solutions
4|2x-5|=12

Answer 1

4 and 1

Answer 2

Erm, I think you want to explain why.\[|2x - 5| = \dfrac{12}{4} = 3\]

Answer 3

Then there are two possibilities:
1) 2x-5 is Positive:
\[2x-5=3\]
2) 2x-5 is Negative:
\[-(2x-5)=3\]
Solve both of these equations for x, and you'll have your answer.