Answer
$-\displaystyle \frac{3}{x}$
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 = $3(3-5x)=-3(5x-3)$
Denominator = $x(5x-3)$
Expression = $\displaystyle \frac{-3(5x-3)}{x(5x-3)}$
... divide both with the common factor: $ (5x-3)$
Expression = $\displaystyle \frac{-3}{x}$ = $-\displaystyle \frac{3}{x}$
