CAYLEY 2007 Problem 14

Past Contests CAYLEY CAYLEY - 2007
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If \displaystyle\frac{3}{x-3}+\frac{5}{2x-6}=\frac{11}{2}, then the value of 2x-6 is

Answer Choices
A. 2
B. 12
C. 6
D. 8
E. 10