\(\frac{x-2}{x+3}-\frac{x+1}{3-x}=\frac{2x^2+6}{x^2-9}\)
\(\Leftrightarrow\frac{x-2}{x+3}+\frac{x+1}{x-3}=\frac{x^2+6}{x^2-9}\)
\(\Leftrightarrow\left(x-2\right)\left(x-3\right)+\left(x+1\right)\left(x+3\right)=x^2+6\)
\(\Leftrightarrow x^2+3x-3x-9+x^2+3x+3=2x^2+6^{ }\)
\(2x^2+3x-6-2x^2-6=0\)
\(\Leftrightarrow3x-12=0\)
\(\Leftrightarrow3x=12\)
\(\Leftrightarrow x=4\)
Vậy............