`\text{~~Holi~~}`
`|x-2|=x`
`-> |x-2|=±x`
`->`\(\left[ \begin{array}{l}x-2=x\\x-2=-x\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x-2-x=0\\x-2+x=0\end{array} \right.\)
`->`\(\left[ \begin{array}{l}2=0 (\text{Vô lí})\\2x-2=0\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x\in∅\\2x=2\end{array} \right.\)
`->`\(\left[ \begin{array}{l}x\in∅\\x=1\end{array} \right.\)
Vậy `x=1`