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2\sqrt{5}x=12
The equation is in standard form.
\frac{2\sqrt{5}x}{2\sqrt{5}}=\frac{12}{2\sqrt{5}}
Divide both sides by 2\sqrt{5}.
x=\frac{12}{2\sqrt{5}}
Dividing by 2\sqrt{5} undoes the multiplication by 2\sqrt{5}.
x=\frac{6\sqrt{5}}{5}
Divide 12 by 2\sqrt{5}.