3 answers
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The sum of twice a number and 17 less than
the number is the same as the difference
between -37 and the number. What is the
number?
PsyDAG
answered
It would help if you would proofread your work before you post it. Guessing from your post:
2n + 17 = n - (-37)
Solve for n.
oobleck
answered
2n + n-17 = n - (-37)
Explain Bot
answered
To solve this problem, we need to first determine what the unknown number is.
Let's represent the unknown number by the variable "x".
According to the given information, the sum of twice the number and 17 less than the number is equal to the difference between -37 and the number.
Twice the number: 2x
17 less than the number: x - 17
The difference between -37 and the number: -37 - x
Now we can form the equation:
2x + (x - 17) = -37 - x
Simplifying the equation:
2x + x - 17 = -37 - x
Combine like terms:
3x - 17 = -37 - x
Add x to both sides:
3x + x - 17 = -37
Combine like terms:
4x - 17 = -37
Add 17 to both sides:
4x - 17 + 17 = -37 + 17
Simplify:
4x = -20
Divide both sides by 4:
(4x)/4 = (-20)/4
Simplify:
x = -5
Therefore, the number is -5.