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

### Step 1: Combine like terms.
First, move the \( -2x \) from the right side to the left side by adding \( 2x \) to both sides:
\[
6x + 2x - 4 = -2
\]
This simplifies to:
\[
8x - 4 = -2
\]

### Step 2: Isolate the variable term.
Next, add 4 to both sides to move the constant term to the right side:
\[
8x = -2 + 4
\]
This simplifies to:
\[
8x = 2
\]

### Step 3: Solve for \( x \).
Now, divide both sides by 8:
\[
x = \frac{2}{8}
\]
Simplify the fraction:
\[
x = \frac{1}{4}
\]

So, the solution is \( x = \frac{1}{4} \).

Would you like more details or explanations on any part of the solution? 

Here are 5 related questions:
1. How do you solve multi-step equations with variables on both sides?
2. What are some common strategies for simplifying algebraic expressions?
3. How do you deal with equations involving fractions?
4. Can you solve equations with exponents or roots in them?
5. How do you check if your solution is correct?

**Tip:** Always simplify the equation step by step to avoid mistakes, especially when dealing with negatives and variables on both sides.

Learn how to solve the linear equation 6x - 4 = -2x - 2 step-by-step. This solution covers combining like terms and isolating variables, suitable for students in Grades 6-8. Follow the process to solve equations with variables on both sides.

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