The given equation is
4 + √(6x + 4) = 8
Subtracting 4 from both sides, it becomes
4 - 4 + √(6x + 4) = 8 - 4
√(6x + 4) = 4
Square both sides. It becomes
[√(6x + 4)]^2 = 4^2
6x + 4 = 16
Subtracting 4 from both sides, it becomes
6x + 4 - 4 = 16 - 4
6x = 12
Dividing both sides by 6,
6x/6 = 12/6
x = 2