It looks like there's a small typo in the equation you provided. I'm assuming you meant to write \(\frac{x - 4}{x + 2} = 3\), with the parentheses properly matched. If so, the solution I previously provided applies.

However, if you meant something different, could you clarify the equation? For example, if there's an extra or missing parenthesis, or if the expression is slightly different, please let me know!

Here's a quick recap of the solution assuming the equation is \(\frac{x - 4}{x + 2} = 3\):

1. **Multiply both sides by \((x + 2)\)**:
   \[
   x - 4 = 3(x + 2)
   \]

2. **Distribute the 3**:
   \[
   x - 4 = 3x + 6
   \]

3. **Move all \(x\) terms to one side and constants to the other**:
   \[
   -2x = 10
   \]

4. **Solve for \(x\)**:
   \[
   x = -5
   \]

Please confirm if this is what you intended, or if you need help with a different equation.

Would you like to explore more about this solution? Here are some related questions:

1. What is the method for solving equations with multiple fractions?
2. How can you verify the solution to a rational equation?
3. What are common mistakes to avoid when solving rational equations?
4. What if the denominator becomes zero? How does that affect the solution?
5. How do you approach solving equations with more complex rational expressions?

**Tip:** When working with fractions in equations, always check if the denominator can become zero for the solution you find, as this would make the solution invalid.

Learn how to solve the rational equation (x - 4) / (x + 2) = 3 step-by-step with detailed explanations and examples. This problem involves solving rational equations using equation manipulation and solving techniques. Suitable for students in Grades 9-12.

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