SOLUTION: If 8.2 plus 1.6 times a number equals the sum of the number and 20.7 , what is the number?

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Question 941003: If 8.2 plus 1.6 times a number equals the sum of the number and 20.7 , what is the number?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
let X be the number
8.2 + (1.6X)=X +20.7 subtract 8.2 from each side
8.2+1.6X-8.2=X+20.7-8.2
1.6X=X+12.5 Subtract X from each side
1.6X-X=X+12.5-X
0.6X=12.5 Divide each side by 0.6
0.6X/0.6=12.5/0.6
X=20.83 ANSWER The number is 20.83
CHECK:
8.2+1.6X=X+20.7
8.2+1.6(20.83)=20.83+20.7
8.2+33.33=41.53
41.53=41.53