Solve for x
x = \frac{16 \sqrt{3} + 8}{11} \approx 3.246619356
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x+8-2\sqrt{3}x=0
Subtract 2\sqrt{3}x from both sides.
x-2\sqrt{3}x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
\left(1-2\sqrt{3}\right)x=-8
Combine all terms containing x.
\frac{\left(1-2\sqrt{3}\right)x}{1-2\sqrt{3}}=-\frac{8}{1-2\sqrt{3}}
Divide both sides by 1-2\sqrt{3}.
x=-\frac{8}{1-2\sqrt{3}}
Dividing by 1-2\sqrt{3} undoes the multiplication by 1-2\sqrt{3}.
x=\frac{16\sqrt{3}+8}{11}
Divide -8 by 1-2\sqrt{3}.
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