Answer
$P(X = 6) = P(X = 8) = .3$
Work Step by Step
Let $y = P(X = 6) = P(X = 8)$. Since the probabilities must sum up to 1, we have $.1 + .2 + x + x + .1 = 1$, i.e. $.4 + 2x = 1$, so $.6 = 2x$ and $x = .3$.
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