\(\frac{x-9}{x+7}=\frac{7}{9}\)
\(\Leftrightarrow\left(x-9\right)\times9=7\times\left(x+7\right)\)
\(\Leftrightarrow9x-81=49+7x\)
\(\Leftrightarrow9x-7x=49+81\)
\(\Leftrightarrow2x=130\)
\(\Leftrightarrow x=65\)
\(\frac{x-9}{x+7}=\frac{16-9}{2+7}\frac{7}{9}\)