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)