SOLUTION: if the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. What is the number?

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Question 739062: if the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. What is the number?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x = "a number", and then the opposite of x is (-x).

the sum of -4 and the opposite of a number: -4%2B%28-x%29

...if that sum is multiplied by -3:
tricky. The "is" does not yet mean "equals".
%28-4%2B%28-x%29%29%2A%28-3%29

... the result is 6 less than: %28-4%2B%28-x%29%29%2A%28-3%29=-6______________?

... the product of the number and 2: highlight%28%28-4%2B%28-x%29%29%2A%28-3%29=-6%2B2x%29

Most of the work was developing the equation from the described data. Now just solve for x.
Final solved result is highlight%28x=-18%29.