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\sqrt{2}x=2+4
Add 4 to both sides.
\sqrt{2}x=6
Add 2 and 4 to get 6.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{6}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{6}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=3\sqrt{2}
Divide 6 by \sqrt{2}.