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4x=6-\sqrt{3}
Subtract \sqrt{3} from both sides.
\frac{4x}{4}=\frac{6-\sqrt{3}}{4}
Divide both sides by 4.
x=\frac{6-\sqrt{3}}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{\sqrt{3}}{4}+\frac{3}{2}
Divide 6-\sqrt{3} by 4.