Solve for x
x=10\left(\sqrt{2}-1\right)\approx 4.142135624
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10-\sqrt{2}x-x=0
Subtract x from both sides.
-\sqrt{2}x-x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
\left(-\sqrt{2}-1\right)x=-10
Combine all terms containing x.
\frac{\left(-\sqrt{2}-1\right)x}{-\sqrt{2}-1}=-\frac{10}{-\sqrt{2}-1}
Divide both sides by -\sqrt{2}-1.
x=-\frac{10}{-\sqrt{2}-1}
Dividing by -\sqrt{2}-1 undoes the multiplication by -\sqrt{2}-1.
x=10\sqrt{2}-10
Divide -10 by -\sqrt{2}-1.
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