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\sqrt{6}+3x=3
Multiply both sides of the equation by 3.
3x=3-\sqrt{6}
Subtract \sqrt{6} from both sides.
\frac{3x}{3}=\frac{3-\sqrt{6}}{3}
Divide both sides by 3.
x=\frac{3-\sqrt{6}}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{\sqrt{6}}{3}+1
Divide 3-\sqrt{6} by 3.