AMC 12 2009a Problem 7

The first three terms of an arithmetic sequence are $2x - 3$, $5x - 11$, and $3x + 1$ respectively. The $n$th term of the sequence is $2009$. What is $n$?

\textbf{(A)}\ 255 \textbf{(B)}\ 502 \textbf{(C)}\ 1004 \textbf{(D)}\ 1506 \textbf{(E)}\ 8037