# How do you solve 4n - 12 = 12 - 4n?

Jul 8, 2016

$n = 3$

#### Explanation:

$4 n - 12 = 12 - 4 n$

This is our given equation. Add $4 n$ to both sides

$8 n - 12 = 12$

We end up with all variable terms on one side. Now add $12$ to both sides to get the variable term by itself on that side

$8 n = 24$

Now all we have to do is divide out the eight from both sides to get a solution for $n$.

$n = 3$

You can check your work (as always) and plug in $3$ for all variables $n$. You end up with $0 = 0$, which is true, which also indicates we did our work correctly and $3$ is a correct solution.