Solve for x
x=3\sqrt{3}+5\approx 10.196152423
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2x-1-\sqrt{3}x=\sqrt{3}
Subtract \sqrt{3}x from both sides.
2x-\sqrt{3}x=\sqrt{3}+1
Add 1 to both sides.
\left(2-\sqrt{3}\right)x=\sqrt{3}+1
Combine all terms containing x.
\frac{\left(2-\sqrt{3}\right)x}{2-\sqrt{3}}=\frac{\sqrt{3}+1}{2-\sqrt{3}}
Divide both sides by 2-\sqrt{3}.
x=\frac{\sqrt{3}+1}{2-\sqrt{3}}
Dividing by 2-\sqrt{3} undoes the multiplication by 2-\sqrt{3}.
x=3\sqrt{3}+5
Divide \sqrt{3}+1 by 2-\sqrt{3}.
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