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36\sqrt{2}=\sqrt{6}x
Multiply 2 and 18 to get 36.
\sqrt{6}x=36\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{6}x}{\sqrt{6}}=\frac{36\sqrt{2}}{\sqrt{6}}
Divide both sides by \sqrt{6}.
x=\frac{36\sqrt{2}}{\sqrt{6}}
Dividing by \sqrt{6} undoes the multiplication by \sqrt{6}.
x=12\sqrt{3}
Divide 36\sqrt{2} by \sqrt{6}.