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5+\sqrt{x-4}=13
Swap sides so that all variable terms are on the left hand side.
\sqrt{x-4}=13-5
Subtract 5 from both sides.
\sqrt{x-4}=8
Subtract 5 from 13 to get 8.
x-4=64
Square both sides of the equation.
x-4-\left(-4\right)=64-\left(-4\right)
Add 4 to both sides of the equation.
x=64-\left(-4\right)
Subtracting -4 from itself leaves 0.
x=68
Subtract -4 from 64.