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4\sqrt{5}x=x_{52}
The equation is in standard form.
\frac{4\sqrt{5}x}{4\sqrt{5}}=\frac{x_{52}}{4\sqrt{5}}
Divide both sides by 4\sqrt{5}.
x=\frac{x_{52}}{4\sqrt{5}}
Dividing by 4\sqrt{5} undoes the multiplication by 4\sqrt{5}.
x=\frac{\sqrt{5}x_{52}}{20}
Divide x_{52} by 4\sqrt{5}.
x_{52}=4\sqrt{5}x
Swap sides so that all variable terms are on the left hand side.