Suppose that

\dfrac{2 x}{3}-\dfrac{x}{6}

is an integer. Which of the following statements must be true about x ?

**Answer Choices**

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 .