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\sqrt{2}+2x=18
Multiply both sides of the equation by 2.
2x=18-\sqrt{2}
Subtract \sqrt{2} from both sides.
\frac{2x}{2}=\frac{18-\sqrt{2}}{2}
Divide both sides by 2.
x=\frac{18-\sqrt{2}}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{\sqrt{2}}{2}+9
Divide 18-\sqrt{2} by 2.