Distribution fair coin, expectation and variance

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Toss 6 independent fair coins, and let X be the number that comes up heads. Compute $E(X)$ and $Var(X)$.

Is this the negative geometric distribution? (6-x-1 Choose x-1) (1/2)^x (1/2)^(6-x) ?

Then wouldn't it be $E(X)=x(1-1/2)/1/2 $ ? But it is not an actual number.

Am I misinterpreting the question?