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\sqrt{2}x=t
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{t}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{t}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{\sqrt{2}t}{2}
Divide t by \sqrt{2}.