SOLUTION: twenty-one less than the product of seven and the difference of a number and one is three times the number. what is the number?

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Question 495527: twenty-one less than the product of seven and the difference of a number and one is three times the number. what is the number?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If n is the required number, the problem can be expressed as:
7%2A%28n-1%29-21+=+3n Simplify and solve for n.
7n-7-21+=+3n
7n-28+=+3n Add 28 to both sides.
7n+=+28%2B3n Subtract 3n from both sides.
4n+=+28 Divide both sides by 4.
n+=+7
The number is 7.