\(\left|x-1\right|=2x-5\)
th1: \(x-1\ge0\Leftrightarrow x\ge1\)
\(\Rightarrow\left|x-1\right|=2x-5\Leftrightarrow x-1=2x-5\Leftrightarrow x=4\left(tmđk\right)\)
th2: \(x-1< 0\Leftrightarrow x< 1\)
\(\Rightarrow\left|x-1\right|=2x-5\Leftrightarrow1-x=2x-5\Leftrightarrow3x=6\Leftrightarrow x=2\left(loại\right)\)
vậy \(x=4\)