https://file.aiquickdraw.com/mathbot/file/1729262093234i25nos3s.jpg

The image shows a visual representation of a linear equation using algebra tiles. Here's how to interpret it:

- On the left side of the equation, we have:
  - Four red rectangles marked with **"X"**, representing four **x** values.
  - Six yellow squares marked with **"+"**, representing **+6**.

- On the right side of the equation, we have:
  - Five green rectangles marked with **"X"**, representing five **x** values.
  - Two red squares marked with **"-"**, representing **-2**.

Thus, the visual model can be translated into the following equation:
\[
4x + 6 = 5x - 2
\]

### Solving the equation:

1. Subtract **4x** from both sides to eliminate the **x** on the left:
   \[
   6 = x - 2
   \]

2. Add **2** to both sides to isolate **x**:
   \[
   6 + 2 = x
   \]
   \[
   x = 8
   \]

### Conclusion:
The value of **x** is **8**.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions to explore further:
1. What would happen if the constants on both sides were equal?
2. How do you solve equations if there are variables on both sides?
3. Can you always represent linear equations with algebra tiles?
4. How do you check the solution of a linear equation?
5. What are the next steps after solving a simple linear equation?

**Tip**: When solving linear equations, isolating the variable is key. Start by simplifying both sides and then move variables and constants to opposite sides.

Based on the model, what is the value of x?

This page provides a step-by-step solution to the linear equation 4x + 6 = 5x - 2 using algebra tiles. Learn how to isolate the variable and solve for x, ideal for students in Grades 7-9 learning basic algebra concepts.

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