# How do you solve 8/(b+10)=4/(2b-7)?

Apr 15, 2018

$b = 8$

#### Explanation:

Step 1: cross multiply the two fractions

$8 \left(2 b - 7\right) = 4 \left(b + 10\right)$

Step 2: Use the distributive property on either side of the equations

$16 b - 56 = 4 b + 40$

Step 3: add $56$ to both sides

$16 b - 56 + 56 = 4 b + 40 + 56$

$16 b = 4 b + 96$

Step 4: Subtract $4 b$ on both sides of the equation to isolate the variable

$12 b = 96$

Step 5: divide and simplify

$b = 8$