Solve for x
x = \frac{2 {(\sqrt{5} + \sqrt{10})}}{5} \approx 2.159338255
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\sqrt{10}x-\sqrt{5}x=2
Subtract \sqrt{5}x from both sides.
\left(\sqrt{10}-\sqrt{5}\right)x=2
Combine all terms containing x.
\frac{\left(\sqrt{10}-\sqrt{5}\right)x}{\sqrt{10}-\sqrt{5}}=\frac{2}{\sqrt{10}-\sqrt{5}}
Divide both sides by \sqrt{10}-\sqrt{5}.
x=\frac{2}{\sqrt{10}-\sqrt{5}}
Dividing by \sqrt{10}-\sqrt{5} undoes the multiplication by \sqrt{10}-\sqrt{5}.
x=\frac{2\sqrt{5}+2\sqrt{10}}{5}
Divide 2 by \sqrt{10}-\sqrt{5}.
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