# How do you solve 5( n + 2) = \frac { 3} { 5} ( 5+ 10n)?

May 14, 2018

$n = 7$

#### Explanation:

$5 \left(n + 2\right) = \frac{3}{5} \left(5 + 10 n\right)$

The distributive property

$5 n + 10 = 3 + 6 n$

Move the variable terms on one side and the constants on the other side by subtracting $3$ on both sides and $5 n$ on both sides.

$10 - 3 = 6 n - 5 n$

$7 = n$

$n = 7$