2008 AMC12 A #5

Suppose that $\dfrac{2x}{3}-\dfrac{x}{6}$ is an integer. Which of the following statements must be true about $x$?

(A) It is negative.

(B) It is even, but not necessarily a multiple of $3$.

(C) It is a multiple of $3$, but not necessarily even.

(D) It is a multiple of $6$, but not necessarily a multiple of $12$.

(E) It is a multiple of $12$.

정답 (B)