-5|24-x|=-11
$\Leftrightarrow$ |24-x|=$\dfrac{11}{5}$
$\Leftrightarrow$ $\left[\begin{matrix} 24-x=$\dfrac{11}{5}$\\ 24-x=$\dfrac{11}{5}$\end{matrix}\right.$
$\Leftrightarrow$ $\left[\begin{matrix} x=24-$\dfrac{11}{5}$\\ x=24-$\dfrac{-11}{5}$\end{matrix}\right.$
$\Leftrightarrow$ $\left[\begin{matrix} x=$\dfrac{109}{5}$\\ x=$\dfrac{131}{5}$\end{matrix}\right.$