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\sqrt{12x+28}=5
Swap sides so that all variable terms are on the left hand side.
12x+28=25
Square both sides of the equation.
12x+28-28=25-28
Subtract 28 from both sides of the equation.
12x=25-28
Subtracting 28 from itself leaves 0.
12x=-3
Subtract 28 from 25.
\frac{12x}{12}=-\frac{3}{12}
Divide both sides by 12.
x=-\frac{3}{12}
Dividing by 12 undoes the multiplication by 12.
x=-\frac{1}{4}
Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.