Answer
$\frac{1}{x-2}$
Work Step by Step
$\frac{5x+2}{x^{2}+2x-8}$+$\frac{2-4x}{x^{2}+2x-8}$
$\frac{x+4}{x^{2}+2x-8}$
$\frac{x+4}{(x-2)(x+4)}$
$\frac{1}{x-2}$
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