Solve for x
x=-4\sqrt{2}-4\approx -9.656854249
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\sqrt{2}x-x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
\left(\sqrt{2}-1\right)x=-4
Combine all terms containing x.
\frac{\left(\sqrt{2}-1\right)x}{\sqrt{2}-1}=-\frac{4}{\sqrt{2}-1}
Divide both sides by \sqrt{2}-1.
x=-\frac{4}{\sqrt{2}-1}
Dividing by \sqrt{2}-1 undoes the multiplication by \sqrt{2}-1.
x=-4\sqrt{2}-4
Divide -4 by \sqrt{2}-1.
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