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

Question

Abigail Allen · Accepted Answer

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

Nathan Axel · Answer

#x=-19/4# 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#

Eva Adamson · Answer

undefined To solve 8x - 22 = -60, first, add 22 to both sides of the equation to isolate the variable term:
8x - 22 + 22 = -60 + 22
Then simplify:
8x = -38
Finally, divide both sides by 8 to solve for x:
8x/8 = -38/8
x = -4.75