Which property is used in the problem?

2(x+4)=2x+8
(1 point)
Responses

The associative property
The associative property

The commutative property
The commutative property

The distributive property
The distributive property

The additive identity property

1 answer

The property used in the problem \(2(x + 4) = 2x + 8\) is the distributive property. This property states that \(a(b + c) = ab + ac\). In this case, \(a\) is 2, and \(b + c\) is \(x + 4\). So, when you distribute 2 to both \(x\) and 4, you get \(2x + 8\).