\[|x - 3| = 6\]
\[x - 3 = 6\ \ \ или\ \ x - 3 = - 6\]
\[x = 6 + 3\ \ \ \ \ \ \ \ \ \ \ \ \ x = - 6 + 3\]
\[x = 9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 3\]
\[Ответ:\ \ x = - 3;x = 9.\]