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2\sqrt{3}x+3x=3
Multiply both sides of the equation by 3.
\left(2\sqrt{3}+3\right)x=3
Combine all terms containing x.
\frac{\left(2\sqrt{3}+3\right)x}{2\sqrt{3}+3}=\frac{3}{2\sqrt{3}+3}
Divide both sides by 2\sqrt{3}+3.
x=\frac{3}{2\sqrt{3}+3}
Dividing by 2\sqrt{3}+3 undoes the multiplication by 2\sqrt{3}+3.
x=2\sqrt{3}-3
Divide 3 by 2\sqrt{3}+3.