Answer
$\frac{2}{3(x-2)}$
Work Step by Step
$\frac{4x+12}{x^2-2x}\times\frac{x}{6x+18}$
$=\frac{4(x+3)}{x(x-2)}\times\frac{x}{6(x+3)}$
$=\frac{4x(x+3)}{6x(x-2)(x+3)}$
$=\frac{2}{3(x-2)}$
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