# How do you solve 3= - \frac { c - 11} { 4}?

Apr 13, 2018

$c = - 1$

Here's how I did it:

#### Explanation:

$3 = - \frac{c - 11}{4}$

First, multiply both sides by $4$:
$3 \textcolor{red}{\cdot 4} = - \frac{c - 11}{\cancel{4}} \cancel{\textcolor{red}{\cdot 4}}$

$12 = - \left(c - 11\right)$

Now distribute the negative sign:
$12 = - c + 11$

Subtract $11$ from both sides of the equation:
$12 \quad \textcolor{red}{- \quad 11} = - c + 11 \quad \textcolor{red}{- \quad 11}$

$1 = - c$

Divide both sides by $- 1$ to get the value of $c$:
$c = - 1$

Hope this helps!