\[|x - 5| = 2x - 1\]
\[x - 5 = 2x - 1\]
\[2x - x = - 5 + 1\]
\[x = - 4.\]
\[x - 5 = - (2x - 1)\]
\[x - 5 = - 2x + 1\]
\[x + 2x = 1 + 5\]
\[3x = 6\]
\[x = 2\]
\[Ответ:\ - 4;2.\]