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?

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Question 310171: 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?
Found 2 solutions by JBarnum, mananth:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
"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."
::translation::
Sum: adding
three times a number:3n
seven more than the number:7+n
is the same as:=
difference: subtraction
-11 and twice the number: -11-2n
___
::putting them in equation form::
3n%2B%287%2Bn%29=%28-11-2n%29add like terms
4n%2B7=-11-2nadd 2n
6n%2B7=-11 minus 7
6n=-18divide by 6
n=-3


Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
three times the number = 3x
7 more than the number = x+7
..
..
difference between -11 and 2 times the number
-11-2x
3x+(x+7)= -11-2x
4x+7=-11-2x
6x=-18
x=-3