Solve for x
x = \frac{\sqrt{6} + \sqrt{10}}{2} \approx 2.805883701
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\sqrt{2}x=\sqrt{5}+\sqrt{3}
Add \sqrt{3} to both sides.
\sqrt{2}x=\sqrt{3}+\sqrt{5}
The equation is in standard form.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{\sqrt{3}+\sqrt{5}}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{\sqrt{3}+\sqrt{5}}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{\sqrt{2}\left(\sqrt{3}+\sqrt{5}\right)}{2}
Divide \sqrt{5}+\sqrt{3} by \sqrt{2}.
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