SOLUTION: If 8 is added to twice a number and this sum is multiplied by five, the result is the same as if the number is multiplied by 5 and 10 is added to the product. What is the number? A

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: If 8 is added to twice a number and this sum is multiplied by five, the result is the same as if the number is multiplied by 5 and 10 is added to the product. What is the number? A      Log On

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Question 290443: If 8 is added to twice a number and this sum is multiplied by five, the result is the same as if the number is multiplied by 5 and 10 is added to the product. What is the number? Anything you can do will help. Thank you.
Answer by toidayma(44) About Me  (Show Source):
You can put this solution on YOUR website!
Well, this problem is rather easy if you understand the question.
Let the number be x.
If 8 is add to twice the number and this sum is multiplied by five -> this equals to (8 + 2*x)*5
If the number is multiplied by five and 10 is added to the product -> this equals to 5*x + 10.
As told in the question, the first result is equal to the second result, which means:
(8+2*x)*5 = 5*x + 10
<-> 40 + 10*x = 5x + 10
<-> 5*x = -30
<-> x = -6.
So the number is -6. Clear, right?