Solve for x
x=3\left(\sqrt{2}-1\right)\approx 1.242640687
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\left(1+\sqrt{2}\right)x=3
Combine all terms containing x.
\left(\sqrt{2}+1\right)x=3
The equation is in standard form.
\frac{\left(\sqrt{2}+1\right)x}{\sqrt{2}+1}=\frac{3}{\sqrt{2}+1}
Divide both sides by 1+\sqrt{2}.
x=\frac{3}{\sqrt{2}+1}
Dividing by 1+\sqrt{2} undoes the multiplication by 1+\sqrt{2}.
x=3\sqrt{2}-3
Divide 3 by 1+\sqrt{2}.
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