Решите уравнение:||x+2|-7|=4.

\[\left| |x + 2| - 7 \right| = 4\]

\[|x + 2| - 7 = 4\]

\[|x + 2| = 11\]

\[x + 2 = 11\ \ \ \ \ \ \ \ x + 2 = - 11\]

\[x = 9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 13\]

\[\ |x + 2| - 7 = - 4\]

\[|x + 2| = 3\]

\[x + 2 = 3\ \ \ \ \ \ \ \ \ \ \ x + 2 = - 3\]

\[x = 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 5\]

\[Ответ:9;\ - 13;1;\ - 5.\]