\(x\ge-\frac{1}{2}\Rightarrow3x-2x-1=0\Rightarrow x=1\)
\(x< \frac{-1}{2}\Rightarrow3x+2x+1\Rightarrow x=-\frac{1}{5}\left(loai\right)\)
\(3x-|2x-1|=2\Leftrightarrow|2x-1|=2-3x\)
\(\Rightarrow-2x+1=2-3x\)hoặc \(-2x+1=3x-2\)
\(\Rightarrow1x+1=2\)hoặc \(-5x+1=-2\)
\(\Rightarrow x=1\)hoặc\(x=\frac{5}{3}\)