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, let's apply the distributive property first.

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

Next, simplify the products:
4 + 24x - 16 - 7x

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

Combine x terms first:
17x + (4 - 16)

Now, combine constant terms:
17x - 12

Therefore, the simplified expression is 17x - 12.