Question

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

Answer 1

`x=-19/4`

Explanation:

`8x-22=-60`

`8x-22=-60|+22`
`8x=-38|:8`
`x=-19/4`

Answer 2

`x=-19/4`

Explanation:

Given: `8x-22=-60`

Add `color(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)`
`color(green)(color(white)("dddddddddddddddddddddddddddd.d")darr)`
`color(green)(color(white)("ddddddddddddddddd")->color(white)("dddd") 8xcolor(white)("dd")+0color(white)("ddd")=-38`

Divide both sides by `color(red)(8)`

`color(green)(8xcolor(white)("d")=color(white)("d")-38color(white)("dddddd")->color(white)("dddd")8/color(red)(8)x=-38/color(red)(8))`

`color(green)(color(white)("ddddddddddddddddd")->color(white)("ddddd")x=-19/4`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Check")`

`8x-22=-60 color(white)("dddd")->color(white)("dddd")cancel(8color(white)(.))^2(-19/cancel(4color(white)(.))^1)-22=-60`

`color(white)("ddddddddddddddddd")->color(white)("dddddddddddd")60color(white)("ddddddd")=60`