Fourier coefficients of a "shifted" periodic function

Question

Suppose that $f:\mathbb{R}\rightarrow \mathbb{C}$ is a $2\pi$-periodic function. Also, assume $x\in\mathbb{R}$. My question is, how could I evaluate $$\frac{1}{2\pi}\int_{-\pi}^{\pi}f(t-x)e^{-int}dt$$ in terms of the $n$-th Fourier coefficient of $f$, i.e., $$\hat{f}(n)=\frac{1}{2\pi}\int_{-\pi}^{\pi}f(t)e^{-int}dt?$$ Any of your help will be highly appreciated :)