To solve the equation \(x - 12 = 3x + 6\) for \(x\), follow these steps:

1. **Move the terms involving \(x\) to one side**: Subtract \(x\) from both sides of the equation to start simplifying.
   \[
   x - 12 - x = 3x + 6 - x
   \]
   This simplifies to:
   \[
   -12 = 2x + 6
   \]

2. **Isolate the term with \(x\)**: Subtract 6 from both sides to further isolate the term with \(x\).
   \[
   -12 - 6 = 2x + 6 - 6
   \]
   Simplifying this gives:
   \[
   -18 = 2x
   \]

3. **Solve for \(x\)**: Finally, divide both sides by 2.
   \[
   x = \frac{-18}{2} = -9
   \]

So, the solution is:
\[
x = -9
\]

Would you like more details or have any questions? Here are some related questions:

1. What are the general steps to solve linear equations?
2. How do you solve equations with variables on both sides?
3. How can you check if your solution to an equation is correct?
4. What if there are fractions in the equation? How would you solve it?
5. How do you solve equations involving parentheses?

**Tip:** Always try to simplify and organize your equation as much as possible to avoid mistakes during solving.

Learn how to solve the equation x - 12 = 3x + 6 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations. Suitable for students in Grades 7-9.

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