Question

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.

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Answer 1

To simplify the expression 4+8(3x−2)−7x, we need to follow the order of operations and apply the distributive property. Here are the steps:

1. Distribute the 8 to both terms inside the parentheses:
4 + 8 * 3x - 8 * 2 - 7x

2. Simplify the products:
4 + 24x - 16 - 7x

3. Combine like terms:
(24x - 7x) + (4 - 16)

4. Simplify further:
17x - 12

Therefore, the simplified expression is 17x - 12.

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