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10+\sqrt{32x}=18
Swap sides so that all variable terms are on the left hand side.
\sqrt{32x}=18-10
Subtract 10 from both sides.
\sqrt{32x}=8
Subtract 10 from 18 to get 8.
32x=64
Square both sides of the equation.
\frac{32x}{32}=\frac{64}{32}
Divide both sides by 32.
x=\frac{64}{32}
Dividing by 32 undoes the multiplication by 32.
x=2
Divide 64 by 32.