Solve for x_7
x_{7}=1602
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\frac{\frac{1}{5}\sqrt{x_{7}-2}}{\frac{1}{5}}=\frac{8}{\frac{1}{5}}
Multiply both sides by 5.
\sqrt{x_{7}-2}=\frac{8}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
\sqrt{x_{7}-2}=40
Divide 8 by \frac{1}{5} by multiplying 8 by the reciprocal of \frac{1}{5}.
x_{7}-2=1600
Square both sides of the equation.
x_{7}-2-\left(-2\right)=1600-\left(-2\right)
Add 2 to both sides of the equation.
x_{7}=1600-\left(-2\right)
Subtracting -2 from itself leaves 0.
x_{7}=1602
Subtract -2 from 1600.
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