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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?       Log On


   



Question 15517: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The first step is to translate the problem from a word description to an algebraic equation: Let n be the missing number.
3n+%2B+%28n%2B7%29+=+-11+-+2n Simplify.
4n+%2B+7+=+-11+-+2n Add 2n to both sides.
6n+%2B+7+=+-11 Subtract 7 from both sides.
6n+=+-18 Divide both sides by 6.
n+=+-3