\(pt\Leftrightarrow\left|2x-3\right|+2\left|2x-3\right|=3\)\(\Leftrightarrow3\left|2x-3\right|=3\Leftrightarrow\left|2x-3\right|=1\)
\(\Leftrightarrow2x-3=1\text{ hoặc }2x-3=-1\)
\(\Leftrightarrow x=2\text{ hoặc }x=1\)
\(\text{Vậy, }x\in\left\{2;1\right\}\)