$$6\cdot\frac{3}{x-2}+\frac{x+3}{4-x^{2}}=\frac{6x}{3+2}$$
$x=-\frac{\sqrt{411}}{6}+\frac{3}{2}\approx -1.878855822$
$x=-3$
$x=\frac{\sqrt{411}}{6}+\frac{3}{2}\approx 4.878855822$
