\(\left(2x-3\right)^{10x}=\left(3-2x\right)^{100}\)
\(\Leftrightarrow\left(2x-3\right)^{10x}=\left(2x-3\right)^{100}\)
\(\Leftrightarrow10x=100\Leftrightarrow x=100:10=10\)
\(\left(2x-3\right)^{10x}=\left(3-2x\right)^{100}\)
\(\Rightarrow\left(2x-3\right)^{10x}=\left(2x-3\right)^{100}\)
\(\Rightarrow10x\Leftrightarrow x=100:10=10\)
~Study well~ :)