SOLUTION: What is five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number

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Question 239420: What is five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared and 9. What is the number?
Found 2 solutions by JimboP1977, Edwin McCravy:
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
I retract what I said and bow to Edwin's superior intellect and knowledge. Grateful though if you could remove your comment directed towards me.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Tell Jimbo to bug off!
What is
five divided by the sum of a number and 3, minus the quotient of 3 and the difference of the number and 3 is equal to 6 times the reciprocal of the difference of the number squared and 9. 

Replace "a number" and "the number" by x

five divided by the sum of x and 3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.

five divided by the sum of x and 3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.

Replace "the sum of x and 3" by "x+3"

five divided by x+3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.

five divided by x+3, minus the quotient of 3 and the difference of x and 3 is equal to 6 times the reciprocal of the difference of x squared and 9.

Replace "the difference of x and 3" by "x-3":

five divided by x+3, minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.
five divided by x+3, minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.

Replace "five divided by x+3" by 5%2F%28x%2B3%29:

5%2F%28x%2B3%29 minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9.
5%2F%28x%2B3%29 minus the quotient of 3 and x-3 is equal to 6 times the reciprocal of the difference of x squared and 9. 

Replace "the quotient of 3 and x-3" by 3%2F%28x-3%29

5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of the difference of x squared and 9.
5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of the difference of x squared and 9.

Replace "x squared" by x%5E2

5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of the difference of x%5E2 and 9.
5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of the difference of red%28x%5E2%29 and 9.

Replace "the difference of x%5E2 and 9" by x%5E2-9

5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of x%5E2-9.
5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times the reciprocal of red%28x%5E2-9%29.

Replace "the reciprocal of x%5E2-9" by 1%2F%28x%5E2-9%29

5%2F%28x%2B3%29 minus 3%2F%28x-3%29 is equal to 6 times 1%2F%28x%5E2-9%29.
red%285%2F%28x%2B3%29%29 minus red%283%2F%28x-3%29%29 is equal to 6 times 1%2F%28x%5E2-9%29.

Replace 5%2F%28x%2B3%29-3%2F%28x-3%29 by 5%2F%28x%2B3%29-3%2F%28x-3%29

5%2F%28x%2B3%29-3%2F%28x-3%29 is equal to 6 times 1%2F%28x%5E2-9%29.
5%2F%28x%2B3%29-3%2F%28x-3%29 is equal to 6 times red%281%2F%28x%5E2-9%29%29.

Replace "6 times 1%2F%28x%5E2-9%29 by 6%2F%28x%5E2-9%29.

5%2F%28x%2B3%29-3%2F%28x-3%29 is equal to 6%2F%28x%5E2-9%29.

5%2F%28x%2B3%29-3%2F%28x-3%29 is equal to 6%2F%28x%5E2-9%29.


Replace "is equal to" by " = ":



5%2F%28x%2B3%29-3%2F%28x-3%29+=+6%2F%28x%5E2-9%29



Can you solve that?  If not post again asking how.

Answer = 15


Edwin