# A beautifully ugly equation

Algebra Level 3

If $$x$$ is a real number satisfying the following equation $\left| \dfrac{x-2}{6x^2+x-2}\right|+|2-x|=\dfrac{(x-2)^2}{|6x^2+x-2|}+1$ If the sum of all the values of $$x$$ can be expressed in the form $$\frac{a}{b}$$ then find the value of $$a+b$$

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