# How do you solve 2( n + 2) = 5n - 5?

Sep 12, 2016

The answer is $n = 3$

We start from:

## $2 \left(n + 2\right) = 5 n - 5$

First step is to multiply expression in brackets by $2$:

$2 n + 4 = 5 n - 5$

Next step is to move variable to left side and numbers to right side:

$2 n - 5 n = - 5 - 4$

Next we simplify the expression by reducing simmilar term on both sides:

$- 3 n = - 9$

Finally after dividing both sides by the factor next to $n$ we get the final result:

Answer: $n = 3$