Confusion on a subtraction problem

[sportsguy3675]

\frac{x}{x^2-9} - \frac{1}{2x-6}

When I first worked this problem I found the answer to be:
\frac{1}{2x-6}

However, in my English class we had this Vietnamese substitute who took my worksheet and did the problems on it in his head and pointed at the answer I wrote for this problem and walked away. He came back and worked it out in front of me and he got the answer:
\frac{1}{2x+6}

Which answer is correct?

[dextercioby]

He is.

\frac{x}{(x-3)(x+3)}-\frac{1}{2(x-3)}

Bring to a common denominator and then simplify.

Daniel.

[sportsguy3675]

Whoops, I see where I went wrong. Messed up when I subtracted the numerators. :( Thanks for the clarification.