Solve for x
x=\sqrt{2}-1\approx 0.414213562
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\sqrt{2}-x\sqrt{2}=2x
Use the distributive property to multiply 1-x by \sqrt{2}.
\sqrt{2}-x\sqrt{2}-2x=0
Subtract 2x from both sides.
-x\sqrt{2}-2x=-\sqrt{2}
Subtract \sqrt{2} from both sides. Anything subtracted from zero gives its negation.
\left(-\sqrt{2}-2\right)x=-\sqrt{2}
Combine all terms containing x.
\frac{\left(-\sqrt{2}-2\right)x}{-\sqrt{2}-2}=-\frac{\sqrt{2}}{-\sqrt{2}-2}
Divide both sides by -\sqrt{2}-2.
x=-\frac{\sqrt{2}}{-\sqrt{2}-2}
Dividing by -\sqrt{2}-2 undoes the multiplication by -\sqrt{2}-2.
x=\sqrt{2}-1
Divide -\sqrt{2} by -\sqrt{2}-2.
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