Solve for x
x=27-9\sqrt{3}\approx 11.411542732
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27\sqrt{3}-\sqrt{3}x=27
Use the distributive property to multiply \sqrt{3} by 27-x.
-\sqrt{3}x=27-27\sqrt{3}
Subtract 27\sqrt{3} from both sides.
\left(-\sqrt{3}\right)x=27-27\sqrt{3}
The equation is in standard form.
\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{27-27\sqrt{3}}{-\sqrt{3}}
Divide both sides by -\sqrt{3}.
x=\frac{27-27\sqrt{3}}{-\sqrt{3}}
Dividing by -\sqrt{3} undoes the multiplication by -\sqrt{3}.
x=27-9\sqrt{3}
Divide 27-27\sqrt{3} by -\sqrt{3}.
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