Solve for x
x=4-2\sqrt{2}\approx 1.171572875
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\left(2+\sqrt{2}\right)x=4
Combine all terms containing x.
\left(\sqrt{2}+2\right)x=4
The equation is in standard form.
\frac{\left(\sqrt{2}+2\right)x}{\sqrt{2}+2}=\frac{4}{\sqrt{2}+2}
Divide both sides by 2+\sqrt{2}.
x=\frac{4}{\sqrt{2}+2}
Dividing by 2+\sqrt{2} undoes the multiplication by 2+\sqrt{2}.
x=4-2\sqrt{2}
Divide 4 by 2+\sqrt{2}.
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