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

1. **Move the variable terms** to one side of the equation. Subtract \(2x\) from both sides:
   \[
   2x - 2x - 2 = 4x - 2x + 6
   \]
   Simplifying gives:
   \[
   -2 = 2x + 6
   \]

2. **Move the constant term** to the other side by subtracting 6 from both sides:
   \[
   -2 - 6 = 2x + 6 - 6
   \]
   Simplifying gives:
   \[
   -8 = 2x
   \]

3. **Solve for \(x\)** by dividing both sides by 2:
   \[
   x = \frac{-8}{2}
   \]
   Simplifying gives:
   \[
   x = -4
   \]

So, the solution is \( x = -4 \).

Would you like more details on this solution, or do you have any further questions?

Here are 5 related questions you might find interesting:
1. How do you solve equations that require combining like terms first?
2. What are the steps to solve an equation where the variable term is on both sides?
3. How do you solve equations with negative coefficients?
4. What is the importance of checking your solution in the original equation?
5. How do you handle equations with more than one variable?

**Tip:** Always isolate the variable by systematically moving terms involving the variable to one side and constants to the other.

Learn how to solve the linear equation 2x - 2 = 4x + 6 step-by-step with detailed explanations. This problem involves basic algebraic concepts and is suitable for students in Grades 7-9.

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