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\sqrt{3x-2}-7-\left(-7\right)=-\left(-7\right)
Add 7 to both sides of the equation.
\sqrt{3x-2}=-\left(-7\right)
Subtracting -7 from itself leaves 0.
\sqrt{3x-2}=7
Subtract -7 from 0.
3x-2=49
Square both sides of the equation.
3x-2-\left(-2\right)=49-\left(-2\right)
Add 2 to both sides of the equation.
3x=49-\left(-2\right)
Subtracting -2 from itself leaves 0.
3x=51
Subtract -2 from 49.
\frac{3x}{3}=\frac{51}{3}
Divide both sides by 3.
x=\frac{51}{3}
Dividing by 3 undoes the multiplication by 3.
x=17
Divide 51 by 3.