# How do you solve 3( 1+ 4n ) - 2( 5n - 3) = 25?

Jun 24, 2018

$n = 8$

#### Explanation:

$3 \left(1 + 4 n\right) - 2 \left(5 n - 3\right) = 25$
First we solve brackets
$\implies$$\left(3 + 12 n\right) - \left(10 n - 6\right) = 25$
Open the brackets
$\implies$$3 + 12 n - 10 n - \left(- 6\right) = 25$
$\implies$$3 + 12 n - 10 n + 6 = 25$
$\implies$$3 + 2 n + 6 = 25$
$\implies$$2 n + 9 = 25$
send $9$ to Right Hand Side
$\implies$$2 n = 25 - 9 = 16$
Divide by 2 on both side
$\implies$$\frac{2 n}{2} = \frac{16}{2}$
$\implies$ $n = 8$