# How do you solve 8n - 12= - 12n + 8?

Jun 5, 2018

$n = 1$

#### Explanation:

$8 n - 12 = - 12 n + 8$

To solve for $n$, we have to make it by itself. First, add $\textcolor{b l u e}{12 n}$ to both sides of the equation:
$8 n - 12 \quad \textcolor{b l u e}{+ \quad 12 n} = - 12 n + 8 \quad \textcolor{b l u e}{+ \quad 12 n}$

$20 n - 12 = 8$

Now add $\textcolor{b l u e}{12}$ to both sides:
$20 n - 12 \quad \textcolor{b l u e}{+ \quad 12} = 8 \quad \textcolor{b l u e}{+ \quad 12}$

$20 n = 20$

Divide both sides by $\textcolor{b l u e}{20}$:
$\frac{20 n}{\textcolor{b l u e}{20}} = \frac{20}{\textcolor{b l u e}{20}}$

Therefore,
$n = 1$

Hope this helps!