What is the expression 4+8(3x−2)−7x when simplified? Apply the order of operations and the commutative and distributive properties.

1 answer

To simplify the expression 4+8(3x−2)−7x, we need to apply the order of operations and the commutative and distributive properties.

First, we distribute the 8 to terms inside the parentheses:
4 + 8(3x) - 8(2) - 7x

Next, we simplify:
4 + 24x - 16 - 7x

Now, we combine like terms:
(24x - 7x) + (4 - 16)

This gives us:
17x - 12