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\frac{3\sqrt{x+2}}{3}=\frac{6}{3}
Divide both sides by 3.
\sqrt{x+2}=\frac{6}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{x+2}=2
Divide 6 by 3.
x+2=4
Square both sides of the equation.
x+2-2=4-2
Subtract 2 from both sides of the equation.
x=4-2
Subtracting 2 from itself leaves 0.
x=2
Subtract 2 from 4.