Question

When solving the equation 2(4x - 3) - 8 = 4 + 2x, which properties of equality would you need to apply in order? (1 point)
Responses

Multiplication, Division, Subtraction Properties
Multiplication, Division, Subtraction Properties

Subtraction, Multiplication, Addition Properties
Subtraction, Multiplication, Addition Properties

Distribute, Subtraction, Addition, Division Properties
Distribute, Subtraction, Addition, Division Properties

Addition, Multiplication, Subtraction Properties

Answer 1

To solve the equation \(2(4x - 3) - 8 = 4 + 2x\), you would follow these steps and apply the corresponding properties of equality:

1. **Distribute**: Apply the distribution property to \(2(4x - 3)\).
2. **Combine Like Terms**: Simplify the left side of the equation after distribution.
3. **Subtraction**: If needed, isolate the variable by subtracting terms from both sides.
4. **Addition**: If needed, add terms to both sides.
5. **Division**: Finally, solve for \(x\) by dividing both sides if required.

Considering these steps, the response that accurately reflects the order of properties applied is:

**Distribute, Subtraction, Addition, Division Properties**.