Question

| x -1| -2 =| 2x -5 |
solve

Answer 1

you have to either graph or work in cases

Answer 2

if \(x>\frac{5}{2}\) then \(|x-1|=x-1,|2x-5|=2x-5\) solve
\[x-1+2=2x-5\]

Answer 3

if \(x<1\) then \(|x-1|=1-x,|2x-5|=5-2x\) solve
\[1-x-2=5-2x\]

Answer 4

and finally the third case is if \(1<x<\frac{5}{2}\) i will leave that one to you