Answer
$$ =\frac{2}{5}$$
Work Step by Step
Recall, one never divides by a fraction. Rather, if we want to divide by a fraction, we multiply by the reciprocal of the fraction. Recall, the reciprocal of a fraction is that fraction with the numerator and the denominator switched. Thus, we find:
$$ \frac{\left(-4+2x\right)}{15}\times \frac{3}{\left(x-2\right)}\\ \frac{2\left(-2+x\right)}{5\left(x-2\right)}\\ =\frac{2}{5}$$
