Solve for x
x=50\left(\sqrt{6}-2\right)\approx 22.474487139
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\left(2+\sqrt{6}\right)x=100
Combine all terms containing x.
\left(\sqrt{6}+2\right)x=100
The equation is in standard form.
\frac{\left(\sqrt{6}+2\right)x}{\sqrt{6}+2}=\frac{100}{\sqrt{6}+2}
Divide both sides by 2+\sqrt{6}.
x=\frac{100}{\sqrt{6}+2}
Dividing by 2+\sqrt{6} undoes the multiplication by 2+\sqrt{6}.
x=50\sqrt{6}-100
Divide 100 by 2+\sqrt{6}.
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