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\frac{10\sqrt{5}}{\left(\sqrt{5}\right)^{2}}=x
Rationalize the denominator of \frac{10}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{10\sqrt{5}}{5}=x
The square of \sqrt{5} is 5.
2\sqrt{5}=x
Divide 10\sqrt{5} by 5 to get 2\sqrt{5}.
x=2\sqrt{5}
Swap sides so that all variable terms are on the left hand side.