# Let's get bigger.

Algebra Level 3

Find $$x\ne 0$$ that satisfies the following: $\large \dfrac{1}{\dfrac{1}{\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{2}}+\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{2}}}+\dfrac{1}{\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{2}}+\dfrac{1}{\dfrac{1}{x}+\dfrac{1}{2}}}} =\dfrac{x}{36}$

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