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

2 Answers
May 10, 2018

Answer:

#x=-19/4#

Explanation:

#8x-22=-60#

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

May 10, 2018

Answer:

#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#