SOLUTION: The sum of 2/3 and five times a number is equal to 5/6 subtracted from six times the number. Find the number.

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Question 961352: The sum of 2/3 and five times a number is equal to 5/6 subtracted from six times the number. Find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let n = the number
:
The sum of 2/3 and five times a number is equal to 5/6 subtracted from six times the number.
2%2F3 + 5n = 6n - 5%2F6
multiply by 6 to get rid of the fractions
2(2) + 6(5n) = 6(6n) - 5
4 + 30n = 36n - 5
30n + 4 = 36n - 5
4 + 5 = 36n - 30n
9 = 6n
n = 9/6
:
Find the number. 1.5 is the number
:
:
Check this on your calc
2%2F3 + 5(1.5) = 6(1.5) - 5%2F6