SOLUTION: The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.

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Question 1028495: The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.
Answer by mananth(16946) About Me  (Show Source):
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The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.

The sum of 1/2 and four times a number
let number be x
4 times a number = 4x
add 1/2
4x+%2B+%281%2F2%29
is equal to 5/6 subtracted from five times the number.
5x-%285%2F6%29


4x+%2B+%281%2F2%29=5x-%285%2F6%29

%288x%2B1%29%2F2+=%2830x-5%29%2F6

6%288x%2B1%29=2%2830x-5%29

48x+6=60x-10

12x=16
x= 16/12
x=(4/3)