\(\Leftrightarrow\dfrac{-7}{x-3}=\dfrac{x-3}{-7}\)
\(\Leftrightarrow\left(x-3\right)^2=49\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=7\\x-3=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-4\end{matrix}\right.\)
`(-7)/(x-3) = (3-x)/7`
`<=> (-7)/x-3)=(x-3)/-7`
`=> `(x-3)(x-3)=(-7).(-7)`
`=>` \(\left[{}\begin{matrix}\left(x-3\right)^2=-7^2\\\left(x-3\right)^2=7^2\end{matrix}\right.\)
`=>` \(\left[{}\begin{matrix}x-3=-7\\x-3=7\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=-7+3\\x=7+3\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=-4\\x=10\end{matrix}\right.\)