AHSME 1968 Problem 9

The sum of the real values of $x$ satisfying the equality $|x+2|=2|x-2|$ is: $\text{(A) } \frac{1}{3} \text{(B) } \frac{2}{3} \text{(C) } 6 \text{(D) } 6\tfrac{1}{3} \text{(E) } 6\tfrac{2}{3}$