Simplify ((2x^3)/(x+5))÷((x-5)/(3x-1))

$\frac{2 x^{3}}{x + 5} \div \frac{x - 5}{3 x - 1}$

To divide by a fraction, multiply by its reciprocal.

$\frac{2 x^{3}}{x + 5} \cdot \frac{3 x - 1}{x - 5}$