Simplify ((4x)/(2x-1))÷((3x+2)/(x+5))

$\frac{4 x}{2 x - 1} \div \frac{3 x + 2}{x + 5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 x}{2 x - 1} \cdot \frac{x + 5}{3 x + 2}$

Step 2

Multiply $\frac{4 x}{2 x - 1}$ by $\frac{x + 5}{3 x + 2}$ .

$\frac{4 x (x + 5)}{(2 x - 1) (3 x + 2)}$