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\sqrt{3}x=1
Add 1 to both sides. Anything plus zero gives itself.
\frac{\sqrt{3}x}{\sqrt{3}}=\frac{1}{\sqrt{3}}
Divide both sides by \sqrt{3}.
x=\frac{1}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
x=\frac{\sqrt{3}}{3}
Divide 1 by \sqrt{3}.