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

Answer 1

To simplify the expression 4 + 8(3x - 2) - 7x, we begin by simplifying the expression within the parentheses.
3x - 2

Next, we distribute the 8 to each term within the parentheses:
8 * 3x - 8 * 2
24x - 16

Now, substituting the simplified expression back into the original equation, we have:
4 + 24x - 16 - 7x

Next, we combine like terms:
(24x - 7x) + (4 - 16)
17x - 12

Therefore, the simplified expression is 17x - 12.