How do you solve #\frac { m } { 4} - 5= \frac { 2m } { 4} - 10#?

1 Answer
Nov 29, 2017

#m=20#

Explanation:

#\frac{m}{4}-5=\frac{2m}{4}-10#

Eliminate the fractions by multiplying both sides by #4#:

#4(\frac{m}{cancel(4)}-5)=4(\frac{2m}{cancel(4)}-10)#

#\rightarrow m-20=2m-40#

Subtract #m# from both sides:

#-20=m-40#

Add #40# to both sides:

#m=20#