Which of the following expressions is equivalent to 2(3x + 4)?

To find the expression equivalent to (2(3x + 4)), you need to use the distributive property of multiplication over addition. This property states that ( a(b + c) = ab + ac ).

Applying the distributive property to (2(3x + 4)):

1. Multiply (2) by (3x): [ 2 \cdot 3x = 6x ]

2. Multiply (2) by (4): [ 2 \cdot 4 = 8 ]

3. Now, combine these products: [ 6x + 8 ]

This shows that (2(3x + 4)) simplifies to (6x + 8), making it the correct expression equivalent to the original one. The choice of (6x + 8) means that it maintains the structure and value of the original expression after distribution.

Other expressions, such as (3x + 8), (5x + 4), and (4x + 6), do not correctly represent the results of this multiplication and therefore