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The subtraction property of equality states that the same number can be subtracted from both sides of an equation without changing the equality. This property is typically applied when you subtract a value from both sides to isolate a variable or simplify the equation.

In the table shown in the image, here is the breakdown of the steps:

1. **Step 1**: \( \frac{x}{2} - 7 = -7 \) (Initial equation)
2. **Step 2**: \( \frac{x}{2} - 7 + 7 = -7 + 7 \) (Adding 7 to both sides to cancel out the -7 on the left-hand side)
3. **Step 3**: \( \frac{x}{2} = 0 \) (The result after simplification)
4. **Step 4**: \( 2 \cdot \frac{x}{2} = 2 \cdot 0 \) (Multiplying both sides by 2 to isolate \(x\))
5. **Step 5**: \( x = 0 \) (Final solution)

The subtraction property of equality is not explicitly used here. Instead, **addition** was applied in **Step 2**, where 7 was added to both sides to cancel the -7. Therefore, the correct answer is **D: The subtraction property of equality was not applied to solve this equation**.

Would you like more details or have any questions?

Here are 5 relative questions based on this problem:
1. What is the addition property of equality?
2. How is multiplication used to simplify equations like in Step 4?
3. What happens if you don't apply equality properties correctly?
4. Can you apply the same steps to solve \( \frac{x}{3} - 5 = 4 \)?
5. What is the role of inverse operations in solving equations?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

In which step was the subtraction property of equality applied?

In this algebra problem, learn how to solve an equation using the properties of equality. The focus is on understanding when the subtraction property is applied and how addition and multiplication help solve for x. Suitable for students in Grades 6-8.

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