Finding the coefficient x^12 of a generating function

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Hi so I am trying to find the coefficient (x)^(12) in $(1-x^5)^3$·(1-x)^(-3)

I know this becomes $(1-3x^5$+3x^(10))·$(1+3C1x+4C2x^2+....)$

Then =14C2-3·8C6+3·1

I am abit confursed where the8C6 and 3·1 come from.

Thanks in advance,

Jordan