\( | x | - 2 = 8\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=8\\x-2=-8\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-6\end{matrix}\right.\)
\(-----------------------\)
\(-6 | x + 2 | = 0 \)
\(| x + 2 | = 0 :(-6)\)
\(| x + 2 | = 0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=0\\x+2=-0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=-2\end{matrix}\right.\)
\(------------------------\)
\( -6 | 2 - x | = -18\)
\( | 2 - x | = -18:(-6)\)
\( | 2 - x | =3\)
\(\Leftrightarrow\left[{}\begin{matrix}2-x=3\\2-x=-3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=5\end{matrix}\right.\)
\(a,x-2=8\\ x=8+2\\ x=10\\ b,x+2=0\\ x=0-2\\ x=-2\\ c,\left|2-x\right|=-18:-6\\ \left|2-x\right|=3\\ 2-x=3\\ x=2-3\\ x=-1\)
