\(\left|x+2\right|-4=6\)
\(\Rightarrow\left|x+2\right|=6+4\)
\(\Rightarrow\left|x+2\right|=6+4\)
\(\Rightarrow\left|x+2\right|=10\)
\(\Rightarrow\left|x+2\right|=10\)
\(\Rightarrow\left\{{}\begin{matrix}\left|x+2\right|=10\\\left|x+2\right|=-10\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x+2=10\\x+2=-10\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=10-2\\x=-10-2\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=8\\x=-12\end{matrix}\right.\)
