SOLUTION: One-half the reciprocal of a number is the same as 30 divided by one less than thrice the number. What is the number?

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Question 1200429: One-half the reciprocal of a number is the same as 30 divided by one less than thrice the number. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One-half the reciprocal of a number is the same as 30 divided by one less than thrice the number.
1%2F2 * 1%2Fx = 30%2F%283x-1%29
:
1%2F%282x%29 = 30%2F%283x-1%29
cross multiply
60x = 3x-1
60x - 3x = -1
57x = -1
x = -1%2F57 is the number?