SOLUTION: twice a number is 60 more than five times the number.what is that number?

Question 109803: twice a number is 60 more than five times the number.what is that number?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Let x be the unknown number
.
Then twice the number is 2x
.
Five times the number is 5x
.
60 more than five times the number is 60 + 5x
.
The equality in the problem is that 2x is equal to 60 + 5x and in equation form this can
be written:
.
2x = 60 + 5x
.
Get rid of the 5x on the right side by subtracting 5x from both sides to get:
.
-3x = 60
.
Solve for x by dividing both sides of this equation by -3 to arrive at:
.
x = 60/(-3) = -20
.
The unknown number is -20.
.
Twice this number is -40 and five times this number is -100. Is -40 really 60 more than -100?
Yes it is because on a number scale -40 is 60 units to the right of -100.
.
Hope this helps you to understand the problem a little better.
.
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