How do you solve 8-4(m + 5) = 3(m-9)?

2 Answers
Mar 29, 2018

#m = 2.14#

Explanation:

Begin by using the distributive property to simplify. Here is a helpful image if you need a refresher on the distributive property:
https://sites.google.com/a/d83.org/math-6/chapter-6/6-6-the-distributive-property

#8 - 4(m + 5) = 3(m - 9)#

#8 - 4m - 20 = 3m - 27#

Now add like terms and solve:
#8 - 4m - 20 = 3m - 27#

#-12 - 4m = 3m - 27#

#-4m = 3m - 15#

#-7m = - 15#

#-m = -2.14#

Multiply both sides by #-1# to change it to a positive answer:
#m = 2.14#

Mar 29, 2018

#15/7#

Explanation:

#8-4m-20=3m-27#

#-4m-12=3m-27#

#-4m-3m=-27+12#

#-7m=-15#

#m=15/7#