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\frac{5\sqrt{x-3}}{5}=\frac{7}{5}
Divide both sides by 5.
\sqrt{x-3}=\frac{7}{5}
Dividing by 5 undoes the multiplication by 5.
x-3=\frac{49}{25}
Square both sides of the equation.
x-3-\left(-3\right)=\frac{49}{25}-\left(-3\right)
Add 3 to both sides of the equation.
x=\frac{49}{25}-\left(-3\right)
Subtracting -3 from itself leaves 0.
x=\frac{124}{25}
Subtract -3 from \frac{49}{25}.