# How do you solve (b+2)/3 - (b-2)/7=2?

Apr 22, 2018

Solution: $b = 5 \frac{1}{2}$

#### Explanation:

$\frac{b + 2}{3} - \frac{b - 2}{7} = 2$ . Multiplying by $21$ on both sides

we get, $7 \left(b + 2\right) - 3 \left(b - 2\right) = 42$ or

$7 b + 14 - 3 b + 6 = 42$ or

$4 b = 22 \therefore b = \frac{22}{4} = \frac{11}{2} = 5 \frac{1}{2}$

Solution: $b = 5 \frac{1}{2}$ [Ans]