|x|-|-12|=-5
=>|x|-12=-5
=>|x|=-5+12=7
=>\(\left[{}\begin{matrix}x=7\\x=-7\end{matrix}\right.\)
\(\left|x\right|-\left|-12\right|=-5\)
\(\left|x\right|-12=-5\)
\(\left|x\right|=-5+12\)
\(\left|x\right|=7\)
\(x=7\) hoặc \(x=-7\)
Vậy \(x\in\left\{7;-7\right\}\)