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-3+\sqrt{6x+4}=5
Swap sides so that all variable terms are on the left hand side.
\sqrt{6x+4}=5+3
Add 3 to both sides.
\sqrt{6x+4}=8
Add 5 and 3 to get 8.
6x+4=64
Square both sides of the equation.
6x+4-4=64-4
Subtract 4 from both sides of the equation.
6x=64-4
Subtracting 4 from itself leaves 0.
6x=60
Subtract 4 from 64.
\frac{6x}{6}=\frac{60}{6}
Divide both sides by 6.
x=\frac{60}{6}
Dividing by 6 undoes the multiplication by 6.
x=10
Divide 60 by 6.