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3\sqrt{x}+\frac{3}{7}-\frac{3}{7}=\frac{6}{7}-\frac{3}{7}
Subtract \frac{3}{7} from both sides of the equation.
3\sqrt{x}=\frac{6}{7}-\frac{3}{7}
Subtracting \frac{3}{7} from itself leaves 0.
3\sqrt{x}=\frac{3}{7}
Subtract \frac{3}{7} from \frac{6}{7} by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
\frac{3\sqrt{x}}{3}=\frac{\frac{3}{7}}{3}
Divide both sides by 3.
\sqrt{x}=\frac{\frac{3}{7}}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{x}=\frac{1}{7}
Divide \frac{3}{7} by 3.
x=\frac{1}{49}
Square both sides of the equation.