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