SOLUTION: The product of 3 and the sum of a number and 5 is the same as the product or -2 and the difference of the same number from 3. Find the number.

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Question 152539: The product of 3 and the sum of a number and 5 is the same as the product or -2 and the difference of the same number from 3. Find the number.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the number N.
The product of 3 and the sum of a number and 5 would be 3%2A%28N%2B5%29.
The product of -2 and the difference of the same number from 3 would be -2%2A%283-N%29.
We can equate those two and solve for N.
3%2A%28N%2B5%29=-2%2A%283-N%29
3N%2B15=-6%2B2N
N=-21%29