\(\frac{1}{x+2}+\frac{5}{x-2}=\frac{3x-12}{x^2-4}\)
ĐKXĐ \(x\ne\pm2\)
\(\frac{1}{x+2}+\frac{5}{x-2}=\frac{3x-12}{x^2-4}\)
\(\Leftrightarrow\frac{x-2+5\left(x+2\right)}{x^2-4}=\frac{3x-12}{x^2-4}\)
\(\Leftrightarrow x-2+5x+10=3x-12\)
\(\Leftrightarrow6x+8=3x-12\)
\(\Leftrightarrow3x=20\Leftrightarrow x=\frac{20}{3}\left(tm\right)\)