# How do you solve 2n - 5 < n + 2?

Mar 6, 2017

See the entire solution process below:

#### Explanation:

First, add $\textcolor{red}{5}$ and subtract $\textcolor{b l u e}{n}$ from each side of the inequality to solve for $n$ while keeping the inequality balanced:

$2 n - 5 + \textcolor{red}{5} - \textcolor{b l u e}{n} < n + 2 + \textcolor{red}{5} - \textcolor{b l u e}{n}$

2n - color(blue)(n) - 5 + color(red)(5) < n - color(blue)(n) + 2 + color(red)(5))

$n - 0 < 0 + 7$

$n < 7$