2009 AMC 12A Problem 7

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

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.