Solve for x
x=-6\sqrt{2}-6\approx -14.485281374
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-\sqrt{2}x+x=6
Reorder the terms.
\left(-\sqrt{2}+1\right)x=6
Combine all terms containing x.
\left(1-\sqrt{2}\right)x=6
The equation is in standard form.
\frac{\left(1-\sqrt{2}\right)x}{1-\sqrt{2}}=\frac{6}{1-\sqrt{2}}
Divide both sides by -\sqrt{2}+1.
x=\frac{6}{1-\sqrt{2}}
Dividing by -\sqrt{2}+1 undoes the multiplication by -\sqrt{2}+1.
x=-6\sqrt{2}-6
Divide 6 by -\sqrt{2}+1.
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