To solve the equation \( 12 - 0.80x - 12 = 0.40x + 6 \), let's follow these steps:

1. **Simplify both sides** by combining like terms:

   \[
   12 - 12 - 0.80x = 0.40x + 6
   \]

   This simplifies to:

   \[
   -0.80x = 0.40x + 6
   \]

2. **Move the \( 0.40x \)** term to the left side by subtracting \( 0.40x \) from both sides:

   \[
   -0.80x - 0.40x = 6
   \]

   Combine the \( x \)-terms:

   \[
   -1.20x = 6
   \]

3. **Solve for \( x \)** by dividing both sides by \(-1.20\):

   \[
   x = \frac{6}{-1.20} = -5
   \]

The solution is \( x = -5 \).

Would you like further details, or do you have any questions? 

Here are some related questions for you:
1. How do you solve equations with variables on both sides?
2. What steps can be taken to isolate the variable in an equation?
3. What are the common mistakes to avoid when solving linear equations?
4. How does the sign of a coefficient affect the solution?
5. How can you verify the solution to an equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies both sides.

Learn how to solve the equation 12 - 0.80x - 12 = 0.40x + 6 with a detailed step-by-step solution. This problem involves isolating variables in linear equations, suitable for students in Grades 7-9.

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