SOLUTION: When the sum of twice the number and three is subtracted from 6, the result is equal to ten minus that number. Find the number.

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Question 880321: When the sum of twice the number and three is subtracted from 6, the result is equal to ten minus that number. Find the number.
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number.
The problem statement reduces to the equation
(1) 6 - (2n+3) = 10 -n
Now solve for n
(2) 6 - 2n - 3 = 10 - n or
(3) 3 - 10 = 2n - n or
(4) -7 = n or
(5) n = -7 Check this using (1).
Is (6-(2*(-7)+3) = 10 -(-7))?
Is (6-(-14+3) = 10 + 7)?
Is (6-(-11) = 17)?
Is (6+11 = 17)?
Is (17 = 17)? Yes
Answer: the number is -7.