# What a messy problem

Algebra Level pending

The right side of this equation: $$8=\sqrt{x^{3}-3x^{2}+3x-1}$$ can be rewritten as: $$(x-a)^{\frac{b}{c}}$$. Then, $$\frac{2x+c}{3b-a}$$ can be written as $$\frac{m}{n}$$, where $$m$$ and $$n$$ are positive coprime integers. Find $$m+n$$.

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