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-6x=96-\sqrt{2}
Subtract \sqrt{2} from both sides.
\frac{-6x}{-6}=\frac{96-\sqrt{2}}{-6}
Divide both sides by -6.
x=\frac{96-\sqrt{2}}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{\sqrt{2}}{6}-16
Divide 96-\sqrt{2} by -6.