a) \(\left|6-2x\right|=4-3x\)
\(\Rightarrow\left[{}\begin{matrix}6-2x=4-3x\\6-2x=-4+3x\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-2x+3x=4-6\\-2x-3x=-4-6\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-2\\-5x=-10\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-2\\x=\left(-10\right):\left(-5\right)=2\end{matrix}\right.\)
b/ \(\frac{3}{x-3}=\frac{6}{9}\)
\(\Rightarrow\left(x-3\right)6=3.9\)
\(\Rightarrow\left(x-3\right)6=27\)
\(\Rightarrow x-3=\frac{27}{6}=\frac{9}{2}\)
\(\Rightarrow x=\frac{9}{2}+3=\frac{15}{2}\)