# How do you solve \frac{32}{d - 2} = 10?

Mar 12, 2018

$d = 5.2$

#### Explanation:

$\frac{32}{d - 2} = 10$ (Multiply both sides by $d - 2$)

$32 = 10 \left(d - 2\right)$ (Distribute 10)

$32 = 10 d - 20$ (Add 20 to both sides)

$52 = 10 d$ (Divide both sides by 10)

$5.2 = d$

Check the answer by plugging it back into the original equation

$\frac{32}{5.2 - 2} = 10$

$\frac{32}{3.2} = 10$

$10 = 10$

Mar 12, 2018

$d = \frac{26}{5}$

#### Explanation:

$\frac{32}{d - 2} = 10$

$10 \left(d - 2\right) = 32$

Distribute

$\left(10\right) \left(d\right) + \left(10\right) \left(- 2\right) = 32$

$10 d - 20 = 32$

Subtract $20$ on both sides

$10 d - 20 + 20 = 32 + 20$

$10 d = 52$

Divide both sides by $10$

$\frac{\cancel{10} d}{\cancel{10}} = \frac{52}{10}$

$d = \frac{26}{5}$