\[\left| |x| - 2 \right| = 6\]
\[|x| - 2 = 6\]
\[|x| = 8\]
\[x = \pm 8.\]
\[|x| - 2 = - 6\]
\[|x| = - 4\]
\[нет\ корней.\]
\[Ответ:x = \pm 8.\]