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\sqrt{-2-3x}=2
Swap sides so that all variable terms are on the left hand side.
-3x-2=4
Square both sides of the equation.
-3x-2-\left(-2\right)=4-\left(-2\right)
Add 2 to both sides of the equation.
-3x=4-\left(-2\right)
Subtracting -2 from itself leaves 0.
-3x=6
Subtract -2 from 4.
\frac{-3x}{-3}=\frac{6}{-3}
Divide both sides by -3.
x=\frac{6}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-2
Divide 6 by -3.