\[|2x - 5| + 3 = 8\]
\[|2x - 5| = 5\]
\[2x - 5 = 5\ \ \ или\ \ \ 2x - 5 = - 5\]
\[\ \ \ \ \ \ \ \ 2x = 10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2x = 0\]
\[\ \ \ \ \ \ \ \ \ \ x = 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 0\]
\[Ответ:x = 5;x = 0.\ \ \ \ \]