SOLUTION: please show me how to solve. Thanks! 8/3M-2=5/3m+4

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Question 64655: please show me how to solve. Thanks!

8/3M-2=5/3m+4

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
8/3M-2=5/3m+4
:
Assume your problem is:
%288%2F3%29m+-+2+=+%285%2F3%29m+%2B+4
:
First get rid of the denominators. Mult every term by 3 and you have:
8m - 3(2) = 5m + 3(4)
8m - 6 = 5m + 12
:
We want to get the unknown (m) on the left and the numerical values on the right
Add 6 to both sides, get rid of the -6 on the left, adds 6 to the right
8m - 6 + 6 = 5m + 12 + 6
8m = 5m + 18
:
Subtract 5m from both sides:
8m - 5m = 5m - 5m + 18
3m = 18
:
Divide both sides by 3
m = 18/3
m = 6
:
Check our solution in the original equation, substitute 6 for m:
%288%2F3%29%286%29+-+2+=+%285%2F3%29%286%29+%2B+4
:
The 3 cancel into the 6 so you have:
8(2) - 2 = 5(2) + 4
16 - 2 = 10 + 4; proves that m = 6 is correct
;
Can you do this now??