How do you solve #2m + 12 = 3m - 31 #?

1 Answer
smendyka
Feb 19, 2017

See the entire solution process below:

Explanation:

First, subtract #color(red)(2m)# and add #color(blue)(31)# to each side of the equation to isolate and solve for the #m# term while keeping the equation balanced:

#2m + 12 - color(red)(2m) + color(blue)(31) = 3m - 31 - color(red)(2m) + color(blue)(31)#

#2m - color(red)(2m) + 12 + color(blue)(31) = 3m - color(red)(2m) - 31 + color(blue)(31)#

#0 + 43 = (3 - 2)m - 0#

#43 = 1m#

#43 = m#

#m = 43#

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