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Question 102021: 9) Four times the difference of a number and one is equal to six times the sum of the number and three. Find the
number.
Answer by HyperBrain(694) (Show Source):
You can put this solution on YOUR website! Let x=the number
The first part says,"Four times..."
So automatically write,
4*
Continuing,"Four times the 'difference of a number and one'...". Difference of a number and one is similar to th expression, x-1, connecting it to 4*,
4*(x-1)
The next words are,"is equal to". This signifies the equal sign. So,
4*(x-1)=
The next part:six times the sum of the number and three--same as 6*(x+3)
Then,
4*(x-1)=6*(x+3)
4x-4=6x+18
4x=6x+22
-2x=22
x=-11
Therefore, th number is -11!
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