# How do you solve 8x - 22 = -60?

May 10, 2018

$x = - \frac{19}{4}$

#### Explanation:

$8 x - 22 = - 60$

$8 x - 22 = - 60 | + 22$
8x=-38|:8
$x = - \frac{19}{4}$

May 10, 2018

$x = - \frac{19}{4}$

#### Explanation:

Given: $8 x - 22 = - 60$

Add $\textcolor{red}{22}$ to both sides:

color(green)(8x-22=-60 color(white)("dddd")->color(white)("dddd")8x color(white)("d.")ubrace(-22color(red)(+22)) =-60color(red)(+22)
$\textcolor{g r e e n}{\textcolor{w h i t e}{\text{dddddddddddddddddddddddddddd.d}} \downarrow}$
color(green)(color(white)("ddddddddddddddddd")->color(white)("dddd") 8xcolor(white)("dd")+0color(white)("ddd")=-38

Divide both sides by $\textcolor{red}{8}$

$\textcolor{g r e e n}{8 x \textcolor{w h i t e}{\text{d")=color(white)("d")-38color(white)("dddddd")->color(white)("dddd}} \frac{8}{\textcolor{red}{8}} x = - \frac{38}{\textcolor{red}{8}}}$

color(green)(color(white)("ddddddddddddddddd")->color(white)("ddddd")x=-19/4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Check}}$

$8 x - 22 = - 60 \textcolor{w h i t e}{\text{dddd")->color(white)("dddd}} {\cancel{8 \textcolor{w h i t e}{.}}}^{2} \left(- \frac{19}{\cancel{4 \textcolor{w h i t e}{.}}} ^ 1\right) - 22 = - 60$

$\textcolor{w h i t e}{\text{ddddddddddddddddd")->color(white)("dddddddddddd")60color(white)("ddddddd}} = 60$