# How do you solve 5/(b+8)=3/(3b+7)?

Oct 10, 2016

$b = - \frac{11}{12}$

#### Explanation:

Multiply the denominator on each sides by the numerator on the other side.

$\frac{5}{b + 8} = \frac{3}{3 b + 7}$

$5 \left(3 b + 7\right) = 3 \left(b + 8\right)$

Open the brackets.

$15 b + 35 = 3 b + 24$

$15 b - 3 b = 24 - 35$

$12 b = - 11$

$b = - \frac{11}{12}$