To solve the equation \( 2x - 6 = 8 \), follow these steps:

1. **Add 6 to both sides** to eliminate the \(-6\) on the left side:
   \[
   2x - 6 + 6 = 8 + 6 \implies 2x = 14
   \]

2. **Divide both sides by 2** to solve for \(x\):
   \[
   \frac{2x}{2} = \frac{14}{2} \implies x = 7
   \]

So, the solution is \( x = 7 \).

Would you like a more detailed explanation or have any questions?

Here are 5 related questions you might want to explore:
1. What happens if you subtract 6 from both sides instead?
2. How would you solve \( 3x - 9 = 12 \)?
3. What is the result if you solve \( 2x + 6 = 8 \)?
4. How would you graph the equation \( 2x - 6 = 8 \)?
5. Can you solve the equation \( 4x - 5 = 15 \)?

**Tip:** Always isolate the variable by reversing operations in the reverse order they were applied.

Learn how to solve the linear equation 2x - 6 = 8 with a detailed step-by-step solution. This problem focuses on fundamental algebra concepts like isolating the variable and applying the addition and division properties of equality. Suitable for students in Grades 6-8.

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