\(\left(2x-3\right)^2=\left(x+5\right)^2\)
\(\Rightarrow4x^2-6x+9=x^2+10x+25\)
\(\Rightarrow4x^2-6x+9-x^2-10x-25=0\)
\(\Rightarrow x^2-16x-16=0\)
\(\Rightarrow\)
(2x-3)2=(x+5)2
=>(2x-3)=(x+5)
=>.......
\(\left(2x-3\right)^2=\left(x+5\right)^2\)
\(\Leftrightarrow2x-3=x+5\)
\(\Leftrightarrow x=8\)