\(\left|x+\dfrac{1}{2}\right|-6=-2\)
\(\left|x+\dfrac{1}{2}\right|=-2+6=4\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=4\\x+\dfrac{1}{2}=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4-\dfrac{1}{2}=\dfrac{7}{2}\\x=-4-\dfrac{1}{2}=-\dfrac{9}{2}\end{matrix}\right.\)