# How do you solve 8x=-72?

Mar 10, 2018

See a solution process below:

#### Explanation:

Divide each side of the equation by $\textcolor{red}{8}$ to solve for $x$ while keeping the equation balanced:

$\frac{8 x}{\textcolor{red}{8}} = - \frac{72}{\textcolor{red}{8}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} x}{\cancel{\textcolor{red}{8}}} = - \frac{8 \times 9}{\textcolor{red}{8}}$

$x = - \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} \times 9}{\cancel{\textcolor{red}{8}}}$

$x = - 9$

Mar 10, 2018

$x = - 9$

#### Explanation:

All we have to do to solve this equation is isolate $x$ by itself on one side of the equals sign.

To do that, divide each side by $8$, and then $x$ will be isolated, revealing the answer:
8x=−72

(8x)/color(blue)8=(−72)/color(blue)8

(cancel(8)x)/cancel(color(blue)8)=(−72)/color(blue)8

x=(−72)/8

x=−9