3-\(\left|x-3\right|\) = 9-3x
(=) \(\left|x-3\right|\) = 3-9-3x
(=) \(\left[{}\begin{matrix}x-3=3-9-3x\\x-3=-3+9+3x\end{matrix}\right.\)
(=) \(\left[{}\begin{matrix}x+3x=3-9+3\\x-3x=-3+9+3\end{matrix}\right.\)
(=) \(\left[{}\begin{matrix}4x=-3\\-2x=9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-3}{4}\\x=\dfrac{-9}{2}=-4,5\end{matrix}\right.\)