Solve for x
x=2\sqrt{2}+2\approx 4.828427125
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\sqrt{2}x-x=2
Subtract x from both sides.
\left(\sqrt{2}-1\right)x=2
Combine all terms containing x.
\frac{\left(\sqrt{2}-1\right)x}{\sqrt{2}-1}=\frac{2}{\sqrt{2}-1}
Divide both sides by \sqrt{2}-1.
x=\frac{2}{\sqrt{2}-1}
Dividing by \sqrt{2}-1 undoes the multiplication by \sqrt{2}-1.
x=2\sqrt{2}+2
Divide 2 by \sqrt{2}-1.
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