\(\left(3-5x\right)^{10}=\left(5x-3\right)^{115}\)
\(\Leftrightarrow\left(5x-3\right)^{10}=\left(5x-3\right)^{115}\)
\(\Leftrightarrow\left(5x-3\right)^{115}-\left(5x-3\right)^{10}=0\)
\(\Leftrightarrow\left(5x-3\right)^{10}\left[\left(5x-3\right)^{105}-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x-3=0\\\left(5x-3\right)^{105}-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{5}\\x=\frac{4}{5}\end{cases}}\)
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