Quick Algebra Identities Repeated

Algebra Level 2

\[\large \dfrac{\color{red}{ \sqrt{2x-1} }+\color{green}{\sqrt{2x+1}} }{\color{green}{ \sqrt{2x+1}}-\color{red}{\sqrt{2x-1}} }=\color{blue}{\dfrac{5}{3}} \quad, \quad \color{magenta}{x} = \ ?\]

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