A past problem

Algebra Level pending

Let $$a,b$$ and $$c$$ be the roots of $$x^3-4x-8=0$$. Find the numerical value of the expression $\dfrac{a+2}{a-2}+\dfrac{b+2}{b-2}+\dfrac{c+2}{c-2}$

Source: 17th Philippine Mathematical Olympiad (2014)
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