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The coefficient of $x^n$ in the expansion of $$\frac{2-3{x}}{2x^2-3x+1} $$

How to proceed on this question ?

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Wite $$\frac{2-3x}{(1-x)(1-2x)}=\frac{1}{1-x}+\frac{1}{1-2x}$$ and use binomial coefficients.