SOLUTION: A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number. What is the

Question 551749: A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number. What is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A number is doubled and then the product is increased by 6.
This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number.
What is the number?
:
Let x = the number
then
-x = the opposite of the number
:
-3(2x+6) = 3(-x) + 54
-6x - 18 = -3x + 54
-18 - 54 = -3x + 6x
-72 = 3x
x =
x = -24 is the number
:
:
Confirm this in the original statement:
-3(2(-24) + 6 = 3(24) + 54
-3(-48 + 6) = 72 + 54
-3(-42) = 126
126 = 126; confirms our solution of x=-24
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