How do you solve #8( 5w - 20) = 20+ 20w#?

2 Answers
Mar 28, 2018

#w=9#

Explanation:

#40w-160=20+20w# distribute
#20w=180# add 20w and add 160 to both sides to have the term with #w# on one side
#w=9# divide both sides by coefficient, 20, to isolate #w#

Mar 28, 2018

#w=9#

Explanation:

#8(5w-20)=20+20w# (Distribute the 8 to the numbers in the bracket)

#40w-160=20+20w# (subtract 20w from both sides)

#20w-160=20# (add 160 to both sides)

#20w=180# (Divide both sides by 20 to isolate the variable)

#w=9#

Check the answer by plugging in the answer for w to see if it works

#8(5(9) -20) = 20+20(9)#

#8(45-20)=20+180#

#8(25)=200#

#200=200#