Giải:
\(\left|3x-1\right|-2x=5+3x\)
\(\Leftrightarrow\left|3x-1\right|=5+3x+2x\)
\(\Leftrightarrow\left|3x-1\right|=5+5x\)
Xét các trường hợp:
* \(3x-1=5+5x\)
\(\Leftrightarrow3x-5x=5+1\)
\(\Leftrightarrow-2x=6\)
\(\Leftrightarrow x=-3\)
* \(3x-1=-\left(5+5x\right)\)
\(\Leftrightarrow3x-1=-5-5x\)
\(\Leftrightarrow3x+5x=-5+1\)
\(\Leftrightarrow8x=-4\)
\(\Leftrightarrow x=-\dfrac{1}{2}\)
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