https://file.aiquickdraw.com/mathbot/file/1727118355447liyc71qk.jpg

Let's analyze the math problem from the image:

Tory is solving the equation \( 2x - 4(x + 1) = 3x \).

Here's how we can solve the equation step by step to determine which equation could be the next line in Tory's solution.

1. **Distribute the -4** on the left-hand side:
   \[
   2x - 4(x + 1) = 3x
   \]
   Distributing gives:
   \[
   2x - 4x - 4 = 3x
   \]

2. **Simplify** the left-hand side:
   \[
   (2x - 4x) - 4 = 3x
   \]
   \[
   -2x - 4 = 3x
   \]

3. **Move all the x terms to one side** of the equation by adding \( 2x \) to both sides:
   \[
   -2x + 2x - 4 = 3x + 2x
   \]
   \[
   -4 = 5x
   \]

The equation at this step is \( -4 = 5x \), which matches option **A)**.

Thus, the next line of Tory's solution is **A) \( -4 = 5x \)**.

Would you like further details or explanations on any step?

Here are five related questions to deepen your understanding:
1. How would you solve for \( x \) after reaching \( -4 = 5x \)?
2. Why did we add \( 2x \) to both sides of the equation?
3. How does distributing a negative sign affect terms inside parentheses?
4. What happens if you forget to distribute the negative sign properly?
5. How would you check the solution once you solve for \( x \)?

**Tip**: When simplifying equations, always combine like terms first to make solving easier!

Tory is solving the equation 2x - 4(x + 1) = 3x. What could be the next line of Tory's solution?

Learn how to solve the linear equation 2x - 4(x + 1) = 3x. This step-by-step guide covers the distributive property, combining like terms, and moving terms across the equation. Suitable for students in Grades 7-9.

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