SOLUTION: two less than one third of a number equals 3 more than fourth of the number. find the number

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Question 161028: two less than one third of a number equals 3 more than fourth of the number. find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two less than one third of a number equals 3 more than fourth of the number. find the number
1%2F3x - 2 = 1%2F4x + 3
Add 2 to both sides:
1%2F3x = 1%2F4x + 3 + 2
1%2F3x = 1%2F4x + 5
Multiply equation by 12 to get rid of the denominators:
12*1%2F3x = 12* 1%2F4x + 12(5)
Results:
4x = 3x + 60
4x - 3x = 60
x = 60
:
:
Check solution original equation:
1%2F3(60) - 2 = 1%2F4(60) + 3
20 - 2 = 15 + 3