Solve for x
x = \frac{40 \sqrt{2} - 20}{7} \approx 5.224077499
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\left(1+2\sqrt{2}\right)x=20
Combine all terms containing x.
\left(2\sqrt{2}+1\right)x=20
The equation is in standard form.
\frac{\left(2\sqrt{2}+1\right)x}{2\sqrt{2}+1}=\frac{20}{2\sqrt{2}+1}
Divide both sides by 1+2\sqrt{2}.
x=\frac{20}{2\sqrt{2}+1}
Dividing by 1+2\sqrt{2} undoes the multiplication by 1+2\sqrt{2}.
x=\frac{40\sqrt{2}-20}{7}
Divide 20 by 1+2\sqrt{2}.
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