In acute triangle $$\(A B C\)$$, altitudes $$\(\overline{B P}\)$$ and $$\(\overline{C Q}\)$$ are drawn. If $$\(A P=x, P C=2 x-6\)$$, $$\(A Q=8\)$$, and $$\(Q B=x-5\)$$, what is the value of $$\(\cos A\)$$ ?

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