AHSME 1962 Problem 3

The first three terms of an arithmetic progression are $x - 1, x + 1, 2x + 3$, in the order shown. The value of $x$ is: $\textbf{(A)}\ -2 \textbf{(B)}\ 0 \textbf{(C)}\ 2 \textbf{(D)}\ 4 \textbf{(E)}\ \text{undetermined}$