# How do you solve 3n + 7 ÷ 5 = 17?

Jul 31, 2015

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

#### Explanation:

$3 n + 7 \div 5 = 17$

Divide $7$ by $5$ first.

$3 n + \frac{7}{5} = 17$

Multiply both sides of the equation by $5$.

$5 \cdot 3 n + 5 \cdot \frac{7}{5} = 17 \cdot 5$ =

$5 \cdot 3 n + \cancel{5} \cdot \frac{7}{\cancel{5}} = 17 \cdot 5$ =

$15 n + 7 = 85$

Subtract $7$ from both sides of the equation.

$15 n = 85 - 7$ =

$15 n = 78$

Divide both sides by $15$.

$n = \frac{78}{15}$

Simplify $\frac{78}{15}$ to $\frac{26}{5}$.

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