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The image you uploaded presents a two-column proof to solve for \( x \) in the equation \( 4(5x + 7) - 3x = 12x - 27 \). The goal is to determine what statement #5 is, as part of this proof. Let's work through the steps based on the provided information.

### Given equation:
\[
4(5x + 7) - 3x = 12x - 27
\]
### Proof Steps (from image):

1. **Statement 1**: \( 4(5x + 7) - 3x = 12x - 27 \) (Given)
   
2. **Statement 2**: \( 20x + 28 - 3x = 12x - 27 \) (Distribute the 4 into \( 5x + 7 \))
   
3. **Statement 3**: \( 17x + 28 = 12x - 27 \) (Combine like terms: \( 20x - 3x = 17x \))

4. **Statement 4**: \( 17x = 12x - 55 \) (Subtract 28 from both sides: \( 28 - 28 = 0 \) and \( -27 - 28 = -55 \))

5. **Statement 5**: \( 5x = -55 \) (Subtract \( 12x \) from both sides: \( 17x - 12x = 5x \))

6. **Statement 6**: \( x = -11 \) (Divide both sides by 5: \( 5x / 5 = -55 / 5 \))

### Statement #5 is:
\[
5x = -55
\]
with the reasoning being "Subtraction Property" because you subtracted \( 12x \) from both sides.

Would you like further clarification or more details on any step?

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Here are five related questions for practice:
1. What is the Subtraction Property of Equality?
2. How can you identify when to combine like terms in equations?
3. Why is distributing important in solving equations?
4. How do you know when to use the Division Property of Equality?
5. What are the key steps to solving multi-step algebraic equations?

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

Which is statement #5 in the given equation proof?

In this step-by-step solution, we solve the linear equation 4(5x + 7) - 3x = 12x - 27. Key concepts include the distributive property, combining like terms, and the subtraction property of equality. This problem is suitable for students in Grades 7-9.

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