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\sqrt{\frac{1}{6}x}+2-2=7-2
Subtract 2 from both sides of the equation.
\sqrt{\frac{1}{6}x}=7-2
Subtracting 2 from itself leaves 0.
\sqrt{\frac{1}{6}x}=5
Subtract 2 from 7.
\frac{1}{6}x=25
Square both sides of the equation.
\frac{\frac{1}{6}x}{\frac{1}{6}}=\frac{25}{\frac{1}{6}}
Multiply both sides by 6.
x=\frac{25}{\frac{1}{6}}
Dividing by \frac{1}{6}\approx 0.166666667 undoes the multiplication by \frac{1}{6}\approx 0.166666667.
x=150
Divide 25 by \frac{1}{6}\approx 0.166666667 by multiplying 25 by the reciprocal of \frac{1}{6}\approx 0.166666667.