Theo đề ta có:
2|x-3|+(-12-6)=0
=> \(\left[{}\begin{matrix}\text{2|x-3|+(-18)=0}\\\Rightarrow2\left|x-3\right|=0-\left(-18\right)\\\Rightarrow2\left|x-3\right|=0+18\\\Rightarrow2\left|x-3\right|=18\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\Rightarrow\left|x-3\right|=\dfrac{18}{2}\\\Rightarrow\left|x-3\right|=9\\\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x-3=9\\x-3=-9\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=9+3\\x=-9+3\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=12\\x=-6\end{matrix}\right.\)