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7\sqrt{3}x+2\sqrt{3}=42
Multiply both sides of the equation by 3.
7\sqrt{3}x=42-2\sqrt{3}
Subtract 2\sqrt{3} from both sides.
\frac{7\sqrt{3}x}{7\sqrt{3}}=\frac{42-2\sqrt{3}}{7\sqrt{3}}
Divide both sides by 7\sqrt{3}.
x=\frac{42-2\sqrt{3}}{7\sqrt{3}}
Dividing by 7\sqrt{3} undoes the multiplication by 7\sqrt{3}.
x=2\sqrt{3}-\frac{2}{7}
Divide 42-2\sqrt{3} by 7\sqrt{3}.