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\sqrt{5}x=8
Add 8 to both sides. Anything plus zero gives itself.
\frac{\sqrt{5}x}{\sqrt{5}}=\frac{8}{\sqrt{5}}
Divide both sides by \sqrt{5}.
x=\frac{8}{\sqrt{5}}
Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.
x=\frac{8\sqrt{5}}{5}
Divide 8 by \sqrt{5}.