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x\sqrt{3}-x=5
Swap sides so that all variable terms are on the left hand side.
\left(\sqrt{3}-1\right)x=5
Combine all terms containing x.
\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{5}{\sqrt{3}-1}
Divide both sides by \sqrt{3}-1.
x=\frac{5}{\sqrt{3}-1}
Dividing by \sqrt{3}-1 undoes the multiplication by \sqrt{3}-1.
x=\frac{5\sqrt{3}+5}{2}
Divide 5 by \sqrt{3}-1.