SOLUTION: Solve (3m+5)/4 -(2m+6)/6 = m+2

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Question 547744: Solve
(3m+5)/4 -(2m+6)/6 = m+2
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
%283m%2B5%29%2F4+-%282m%2B6%29%2F6+=+m%2B2
Let's first get rid of the 4 in the denominator by multiplying EACH term by 4
4%2A%283m%2B5%29%2F4+-4%2A%282m%2B6%29%2F6+=+4%2Am%2B4%2A2
%283m%2B5%29+-%288m%2B24%29%2F6+=+4m%2B8
Now, let's get rid of the 6 in the denominator by multiplying EACH term by 6
6%2A%283m%2B5%29+-6%2A%288m%2B24%29%2F6+=+6%2A4m%2B6%2A8
18m%2B30+-%288m%2B24%29+=+24m%2B48
And now distributing the negative on the left side into the bracket
18m%2B30+-8m-24+=+24m%2B48
10m%2B6=+24m%2B48
And putting everything with a m on one side and constants on the other:
10m%2B6-10m-48=+24m%2B48-10m-48
6-48=+24m-10m
6-48=+24m-10m
-42=14m
-42%2F14=m
m=-3


Hopefully this helps!