Solve for x
x=\frac{\sqrt{2}}{2}\approx 0.707106781
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\sqrt{2}x=8-7
Subtract 7 from both sides.
\sqrt{2}x=1
Subtract 7 from 8 to get 1.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{1}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{1}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{\sqrt{2}}{2}
Divide 1 by \sqrt{2}.
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