SOLUTION: twice a number is 12 less than 6 times the opposite of the number

Question 146111: twice a number is 12 less than 6 times the opposite of the number
Found 2 solutions by oscargut, ankor@dixie-net.com:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
twice a number is 12 less than 6 times the opposite of the number
if we denote x as the number
2x=-6x-12
8x=-12
x=-12/8= -3/2
the number is -3/2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = "a number"
then
-x = "opposite of the number'
:
Just write what it says (the word "is" usually means "=":
twice a number is 12 less than 6 times the opposite of the number
2x = 6(-x) - 12
2x = -6x - 12
2x + 6x = -12
8x = 12
x=
x = -1.5; (the opposite would be +1.5)
:
:
Check solution in original statement
2(-1.5) = 6(+1.5) - 12
-3 = +9 - 12
RELATED QUESTIONS
twice the opposite of a number is 16 less than 6 times the number. What is the... (answered by stanbon)
4 more than twice a number is less than the opposite of the... (answered by ankor@dixie-net.com)
Five times the opposite of a number was 56 less than twice the number. What was the... (answered by user_dude2008)
a number is less than the sum of twice its opposite and five. find the... (answered by ankor@dixie-net.com)
I cant figure out this word problem: Five times a number is 21 less than twice the... (answered by 303795)
What is seven times a number is 18 less that twice the opposite of the number. Find the... (answered by fractalier)
A number is less than the sum of twice its opposite and five. (answered by Mathtut)
five times a number is 35 greater than twice the opposite of the number. What is the... (answered by palanisamy)
Twice a number is 16 greater than two times the opposite of the number. What is the... (answered by stanbon)