# How do you solve 5/(2x-3)=3/(x+5)?

Jan 27, 2017

$x = 34$

#### Explanation:

Solve $\frac{5}{2 x - 3} = \frac{3}{x + 5}$

Begin by cross multiplying.

$5 \left(x + 5\right) = 3 \left(2 x - 3\right)$

Expand each side using the distributive property, $a \left(b + c\right) = a b + a c$.

$5 x + 25 = 6 x - 9$

Add $9$ to both sides.

$5 x + 25 + 9 = 6 x$

$5 x + 34 = 6 x$

Subtract $5 x$ from both sides.

$34 = 6 x - 5 x$

$34 = x$

Switch sides.

$x = 34$