If $\frac{3}{x-3}+\frac{5}{2 x-6}=\frac{11}{2}$, then the value of $2 x-6$ is
(A) 2
(B) 12
(C) 6
(D) 8
(E) 10
Using a common denonimator, $\frac{3}{x-3}+\frac{5}{2 x-6}=\frac{6}{2 x-6}+\frac{5}{2 x-6}=\frac{11}{2 x-6}$.

Therefore, $\frac{11}{2 x-6}=\frac{11}{2}$, so $2 x-6=2$.

ANSWER: (A)