Answer
$\displaystyle \frac{x}{3} $
Work Step by Step
Simplifying Rational Expressions
1. Factor the numerator and the denominator completely.
2. Divide both the numerator and the denominator by any common factors.
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Numerator $: $
$xy-2x=x(y-2)$
Denominator:
$3y-6=3(y-2)$
Expression = $\displaystyle \frac{x(y-2)}{3(y-2)}$
... divide both with the common factor: $ (y-2)$
Expression = $\displaystyle \frac{x}{3} $
