Mean from a finite-support MGF

Let $X$ be a random variable with moment generating function $$M_{X}(t)=\frac{1}{12}+\frac{1}{6}e^{t}+\frac{1}{3}e^{2t}+\frac{1}{4}e^{-t}+\frac{1}{6}e^{-2t}, t\in\mathbb{R}.$$ Then, $8E(X)$ is equal to __________.