\[|2x - 1| + 7 = 8\]
\[|2x - 1| = 1\]
\[2x - 1 = 1\ \ \ или\ \ \ 2x - 1 = - 1\]
\[\ \ \ \ \ \ \ \ \ 2x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2x = 0\]
\[\ \ \ \ \ \ \ \ \ \ \ x = 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 0\]
\[Ответ:1;0.\ \]