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\sqrt{3}x-x=50
Subtract x from both sides.
\left(\sqrt{3}-1\right)x=50
Combine all terms containing x.
\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{50}{\sqrt{3}-1}
Divide both sides by \sqrt{3}-1.
x=\frac{50}{\sqrt{3}-1}
Dividing by \sqrt{3}-1 undoes the multiplication by \sqrt{3}-1.
x=25\sqrt{3}+25
Divide 50 by \sqrt{3}-1.