Answer
$-\displaystyle \frac{2}{x}$
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.
---
Numerator = $2(2-3x)=-2(3x-2)$
Denominator = $x(3x-2)$
Expression = $\displaystyle \frac{-2(3x-2)}{x(3x-2)}$
... divide both with the common factor: $ (3x-2)$
Expression = $\displaystyle \frac{-2}{x}$ = $-\displaystyle \frac{2}{x}$