Solve for x
x=\sqrt{3}+1\approx 2.732050808
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2x-\sqrt{3}x=x-2
Use the distributive property to multiply 2-\sqrt{3} by x.
2x-\sqrt{3}x-x=-2
Subtract x from both sides.
x-\sqrt{3}x=-2
Combine 2x and -x to get x.
\left(1-\sqrt{3}\right)x=-2
Combine all terms containing x.
\frac{\left(1-\sqrt{3}\right)x}{1-\sqrt{3}}=-\frac{2}{1-\sqrt{3}}
Divide both sides by 1-\sqrt{3}.
x=-\frac{2}{1-\sqrt{3}}
Dividing by 1-\sqrt{3} undoes the multiplication by 1-\sqrt{3}.
x=\sqrt{3}+1
Divide -2 by 1-\sqrt{3}.
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