$\text{5.|2X-3|-13=137}$
$\text{5.|2X-3|=137+13}$
$\text{5.|2X-3|=150}$
$\text{|2X-3|=150:5}$
$\text{|2X-3|=30}$
$\left[\begin{matrix} 2x-3=30\\ 2x-3=-30\end{matrix}\right.$
$\left[\begin{matrix} 2x=30+3\\ 2x=-30+3\end{matrix}\right.$
$\left[\begin{matrix} 2x=33\\ 2x=-27\end{matrix}\right.$
$\left[\begin{matrix} x=33:2\\ x=-27:2\end{matrix}\right.$
$\left[\begin{matrix} x=16,5\\ x=-13,5\end{matrix}\right.$
$\text{Vậy x=16,5 hoặc x= -13,5}$