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\sqrt{3}+2x=7\sqrt{3}
Multiply both sides of the equation by 2.
2x=7\sqrt{3}-\sqrt{3}
Subtract \sqrt{3} from both sides.
2x=6\sqrt{3}
Combine 7\sqrt{3} and -\sqrt{3} to get 6\sqrt{3}.
\frac{2x}{2}=\frac{6\sqrt{3}}{2}
Divide both sides by 2.
x=\frac{6\sqrt{3}}{2}
Dividing by 2 undoes the multiplication by 2.
x=3\sqrt{3}
Divide 6\sqrt{3} by 2.