Solve for x
x = \frac{5 {(\sqrt{3} + 1)}}{2} \approx 6.830127019
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5+x-x\sqrt{3}=0
Subtract x\sqrt{3} from both sides.
x-x\sqrt{3}=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
\left(1-\sqrt{3}\right)x=-5
Combine all terms containing x.
\frac{\left(1-\sqrt{3}\right)x}{1-\sqrt{3}}=-\frac{5}{1-\sqrt{3}}
Divide both sides by 1-\sqrt{3}.
x=-\frac{5}{1-\sqrt{3}}
Dividing by 1-\sqrt{3} undoes the multiplication by 1-\sqrt{3}.
x=\frac{5\sqrt{3}+5}{2}
Divide -5 by 1-\sqrt{3}.
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