SOLUTION: How do you solve for r in this equation:((2r+5)/5)-((3r+1)/2)=((7-r)/2)

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Question 334246: How do you solve for r in this equation:((2r+5)/5)-((3r+1)/2)=((7-r)/2)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282r%2B5%29%2F5%29-%28%283r%2B1%29%2F2%29=%28%287-r%29%2F2%29
Multiply by 10 to get rid of the denominators; results:
2(2r+5) - 5(3r+1) = 5(7-r)
:
4r + 10 - 15r - 5 = 35 - 5r
Combine the r's on the left, numbers on the right
4r - 15r + 5r = 35 - 10 + 5
:
-6r = 30
r = 30%2F%28-6%29
r = -5
;
:
Check solution in original equation
%28%282%28-5%29%2B5%29%2F5%29-%28%283%28-5%29%2B1%29%2F2%29=%28%287-%28-5%29%29%2F2%29
%28%28-10%2B5%29%2F5%29-%28%28-15%2B1%29%2F2%29=%28%287%2B5%29%2F2%29
%28-5%29%2F5 - %28-14%29%2F2 = 12%2F2
-1 + 7 = 6