Math-Algebra 1

You have a bag which contains only red and green marbles. In this bag with x^2+5 marbles total, x+1 are red. Also, x-3 marbles have a scratch on them. The probability of drawing a red marble from the original bag is equal to that of drawing a marble with a scratch from the marbles left in the bag after twenty scratch-free marbles are taken out of the full bag. How many marbles were originally in the bag?

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  1. (x + 1) / (x^2 + 5) = (x - 3) / (x^2 - 15)

    x^3 + x^2 - 15x - 15 = x^3 - 3x^2 + 5x - 15

    4 x^2 - 20 x = 0 ... x^2 - 5 x = 0

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  2. Thanks!

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  3. It's not 0.

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  4. ok it's 30

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  5. The answer is actually 50, stop cheating

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  6. its 30 liar

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  7. It's 30, not 50, liar!

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  8. The answer's freaking 30

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  9. it's 30

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  10. 30!!!!

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  11. its 30

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  12. the answer is 30. :/

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  13. It is 30

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  14. no 50

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  15. Actually, it's 30. I checked on AoPS.

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  16. its 30 people who say 50

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  17. First of all don't cheat

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