SOLUTION: Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the number?

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Question 524279: Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the number?
:
Write an equation for exactly what it says
4(2n - 9) = 10n - 8
8n - 36 = 10n - 8
-36 + 8 = 10n - 8n
-28 = 2n
n = %28-28%29%2F2
n = -14
:
:
See if that works in the original equation
4(2(-14) - 9) = 10(-14) - 8
4(-28 - 9) = -140 - 8
4(-37) = -148
-148 = -148; confirms our solution of n=-14