b) \(\left|2x-5\right|=13\)
\(\Rightarrow\left[\begin{matrix}2x-5=13\\2x-5=-13\end{matrix}\right.\)
\(\Rightarrow\left[\begin{matrix}2x=13+5=18\\2x=-13+5=-8\end{matrix}\right.\)
\(\Rightarrow\left[\begin{matrix}x=18\div2=9\\x=-8\div2=-4\end{matrix}\right.\)
\(\Rightarrow x\in\left\{9;-4\right\}\)