SOLUTION: Please show how to Solve the equation and show how to check the answer. thanks! 1/2a-5=1/3a-1

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Question 97961: Please show how to Solve the equation and show how to check the answer. thanks!
1/2a-5=1/3a-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume your mean, (a is not part of the denominator)
1%2F2a - 5 = 1%2F3a - 1
:
6 is the least common multiple of both denominators, multiply equation by 6:
61%2F2a - 6(5) = 61%2F3a - 6(1)
:
Cancel out the denominators and you have;
3a - 30 = 2a - 6
:
3a - 2a = -6 + 30
:
a = +24
:
:
To check this, substitute 24 for a in the original equation
1%2F224 - 5 = 1%2F324 - 1
:
12 - 5 = 8 - 1;