`|2x-1|-4=-1`
`=> |2x-1|=-1+4`
`=> |2x-1|=3`
`@ TH1`
`2x-1=3`
`=> 2x=3+1`
`=>2x=4`
`=>x=4:2`
`=>x=2`
`@ TH2`
`2x-1=-3`
`=> 2x=-3+1`
`=> 2x=-2`
`=>x=-2:2`
`=>x=-1`
=>|2x-1|=3
=>2x-1=3 hoặc 2x-1=-3
=>x=-1 hoặc x=2
|2.x-1|-4=-1
<=>|2.x-1|=3
\(< =>\left[{}\begin{matrix}2.x-1=3\\2.x-1=-3\end{matrix}\right.< =>\left[{}\begin{matrix}2.x=4\\2.x=-2\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
Vậy x∈{2;-1}