SOLUTION: twice a sum of a number and six is the opposite of the number. what is the number?

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Question 1056499: twice a sum of a number and six is the opposite of the number. what is the number?

Answer by Edwin McCravy(20055) About Me  (Show Source):
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twice
2*
a sum of a number and six
(x + 6)
is
=
the opposite of the number.
-x

So we have

2*(x + 6) = -x

2*x + 2*6 = -x

 2*x + 12 = -x

Subtract 12 from both sides:

      2*x = -x - 12

Add x to both sides:

      3*x = -12

Divide both sides by 3

        x = -4

Edwin