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Sum of Possible x

Source: 1968 AHSME Problem #9

August 31, 2011
AMC

Problem Statement

The sum of the real values of xx satisfying the equality ∣x+2∣=2∣x−2∣|x+2|=2|x-2| is:
<spanclass=′latex−bold′>(A)</span> 13<spanclass=′latex−bold′>(B)</span> 23<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 613<spanclass=′latex−bold′>(E)</span> 623<span class='latex-bold'>(A)</span>\ \dfrac{1}{3} \qquad <span class='latex-bold'>(B)</span>\ \dfrac{2}{3} \qquad <span class='latex-bold'>(C)</span>\ 6 \qquad <span class='latex-bold'>(D)</span>\ 6\dfrac{1}{3} \qquad <span class='latex-bold'>(E)</span>\ 6\dfrac{2}{3}
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