SOLUTION: (3m-2)/5=(4-m)/3 solve the equations and check the solution

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Question 131339: (3m-2)/5=(4-m)/3 solve the equations and check the solution
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3m-2)/5=(4-m)/3 solve the equations and check the solution
Cross-multiply to get:
3(3m-2) = 5(4-m)
9m-18 = 20-5m
14m = 38
m = 19/7
m = 2 5/7
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Checking:
3((19/7)-2)/5 = (4-(19/7))/3
3(5/7)/5 = (9/7)/3
3/7 = 3/7
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Cheers,
Stan H.