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6x-\pi =2\sqrt{3}
Multiply both sides of the equation by 6, the least common multiple of 6,3.
6x=2\sqrt{3}+\pi
Add \pi to both sides.
6x=\pi +2\sqrt{3}
The equation is in standard form.
\frac{6x}{6}=\frac{\pi +2\sqrt{3}}{6}
Divide both sides by 6.
x=\frac{\pi +2\sqrt{3}}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{\pi }{6}+\frac{\sqrt{3}}{3}
Divide 2\sqrt{3}+\pi by 6.