To solve the equation \(2x + 6 = -4x - 12\), follow these steps:

1. **Combine like terms involving \(x\):**
   \[
   2x + 4x + 6 = -12
   \]
   \[
   6x + 6 = -12
   \]

2. **Isolate the term with \(x\) by subtracting 6 from both sides:**
   \[
   6x = -12 - 6
   \]
   \[
   6x = -18
   \]

3. **Solve for \(x\) by dividing both sides by 6:**
   \[
   x = \frac{-18}{6}
   \]
   \[
   x = -3
   \]

So, the solution is \(x = -3\).

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

Here are some related questions to consider:
1. How do you solve equations involving fractions?
2. What happens if the equation has variables on both sides?
3. How do you solve quadratic equations?
4. What are the steps to solve a system of linear equations?
5. How do you factorize a quadratic equation?

**Tip:** Always check your solution by plugging it back into the original equation to verify it satisfies the equation.

Learn how to solve the linear equation 2x + 6 = -4x - 12 with a detailed step-by-step solution. This problem covers solving linear equations involving variables on both sides and simplifying expressions. Suitable for students in Grades 7-9.

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