1: =>|3x-1|=x+2
\(\Leftrightarrow\left\{{}\begin{matrix}\left(3x-1-x-2\right)\left(3x-1+x+2\right)=0\\x>=-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left(2x-3\right)\left(4x+1\right)=0\\x>=-2\end{matrix}\right.\Leftrightarrow x\in\left\{\dfrac{3}{2};-\dfrac{1}{4}\right\}\)
2: |5x-4|=|x+1|
=>5x-4=x+1 hoặc 4-5x=x+1
=>4x=5 hoặc -6x=-3
=>x=5/4 hoặc x=1/2