\(\left|\dfrac{1}{2}x\right|=3-2x\\ \Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=3-2x\\\dfrac{1}{2}x=-3+2x\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x+2x=3\\\dfrac{1}{2}x-2x=-3\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}\dfrac{5}{2}x=3\\-\dfrac{3}{2}x=-3\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{6}{5}\\x=2\end{matrix}\right.\)