SOLUTION: The sum of three time a number and 7 more than the number is the difference between -11 and twice the number. What is the number?

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Question 551834: The sum of three time a number and 7 more than the number is the difference between -11 and twice the number. What is the number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of three time a number and 7 more than the number is the difference between -11 and twice the number" translates to 3n+%2B+n+%2B+7=-11-2n


3n%2Bn%2B7=-11-2n Start with the given equation.


4n%2B7=-11-2n Combine like terms on the left side.


4n=-11-2n-7 Subtract 7 from both sides.


4n%2B2n=-11-7 Add 2n to both sides.


6n=-11-7 Combine like terms on the left side.


6n=-18 Combine like terms on the right side.


n=%28-18%29%2F%286%29 Divide both sides by 6 to isolate n.


n=-3 Reduce.


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Answer:

So the solution is n=-3