What is the expression 4+8(3x−2)−7x

Question

when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.(4 points)

Answer 1

To simplify the expression \( 4 + 8(3x - 2) - 7x \), we will apply the order of operations, including the distributive property. Let's go step-by-step.

1. Distribute the 8 through the parentheses: \[ 8(3x - 2) = 8 \cdot 3x - 8 \cdot 2 = 24x - 16 \]

2. Substitute back into the original expression: \[ 4 + 24x - 16 - 7x \]

3. Combine like terms:

   • The constants: \( 4 - 16 = -12 \)
   • The \( x \)-terms: \( 24x - 7x = 17x \)

4. Put it all together: \[ -12 + 17x \]

5. Final expression: \[ 17x - 12 \]

Thus, the simplified expression is \( \boxed{17x - 12} \).

Answer 2

make it like a 7grader made it