`|5-2x|>6`

$⇔\left[\begin{matrix} 5-2x>6\\ 5-2x<-6\end{matrix}\right.$

$⇔\left[\begin{matrix} -2x>1\\ -2x<-11\end{matrix}\right.$

$⇔\left[\begin{matrix} x<\dfrac{-1}{2}\\ x>\dfrac{11}{2}\end{matrix}\right.$