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\sqrt{3x-12}=12
Use the distributive property to multiply 3 by x-4.
3x-12=144
Square both sides of the equation.
3x-12-\left(-12\right)=144-\left(-12\right)
Add 12 to both sides of the equation.
3x=144-\left(-12\right)
Subtracting -12 from itself leaves 0.
3x=156
Subtract -12 from 144.
\frac{3x}{3}=\frac{156}{3}
Divide both sides by 3.
x=\frac{156}{3}
Dividing by 3 undoes the multiplication by 3.
x=52
Divide 156 by 3.