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\left(3\sqrt{3}-1\right)x=27
Combine all terms containing x.
\frac{\left(3\sqrt{3}-1\right)x}{3\sqrt{3}-1}=\frac{27}{3\sqrt{3}-1}
Divide both sides by 3\sqrt{3}-1.
x=\frac{27}{3\sqrt{3}-1}
Dividing by 3\sqrt{3}-1 undoes the multiplication by 3\sqrt{3}-1.
x=\frac{81\sqrt{3}+27}{26}
Divide 27 by 3\sqrt{3}-1.