# Distributing coins trouble

Algebra Level 2

There are four persons $$A,B,C,D$$ and $$A$$ has some coins.

$$A$$ gave half of the coins to $$B$$ and another 4 more coins.
$$B$$ gave half of the coins to $$C$$ and another 4 more coins.
$$C$$ gave half of the coins to $$D$$ and another 4 more coins.
Both $$B$$ and $$D$$ end up with same number of coins.

How many coins did $$A$$ have originally?

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