sqrt(2x+4)=4

Solve for x:
sqrt(2 x+4) = 4

Raise both sides to the power of two:
2 x+4 = 16

Subtract 4 from both sides:
2 x = 12

Divide both sides by 2:
Answer: |x = 6

$\sqrt{2x+4}=4\\ 2x+4=4^2\\ 2x = 4^2 - 4 = 12\\ x = 12/2 = 6$