\(\left|3\dfrac{1}{2}+2x\right|=5\dfrac{1}{2}\)
\(\Leftrightarrow\left|\dfrac{7}{2}+2x\right|=\dfrac{11}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{7}{2}+2x=\dfrac{11}{2}\\\dfrac{7}{2}+2x=-\dfrac{11}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{9}{2}\end{matrix}\right.\)
