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4=\sqrt{3x+11}
Subtract 4 from 15 to get 11.
\sqrt{3x+11}=4
Swap sides so that all variable terms are on the left hand side.
3x+11=16
Square both sides of the equation.
3x+11-11=16-11
Subtract 11 from both sides of the equation.
3x=16-11
Subtracting 11 from itself leaves 0.
3x=5
Subtract 11 from 16.
\frac{3x}{3}=\frac{5}{3}
Divide both sides by 3.
x=\frac{5}{3}
Dividing by 3 undoes the multiplication by 3.