Quick Algebra Identities Repeated

Algebra Level 2

2x1+2x+12x+12x1=53,x= ?\large \dfrac{\color{#D61F06}{ \sqrt{2x-1} }+\color{#20A900}{\sqrt{2x+1}} }{\color{#20A900}{ \sqrt{2x+1}}-\color{#D61F06}{\sqrt{2x-1}} }=\color{#3D99F6}{\dfrac{5}{3}} \quad, \quad \color{magenta}{x} = \ ?

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