To solve the equation \( 2x - 6 = 0 \), follow these steps:

1. Add 6 to both sides of the equation:
   \[
   2x = 6
   \]

2. Divide both sides by 2:
   \[
   x = \frac{6}{2}
   \]

3. Simplify:
   \[
   x = 3
   \]

Thus, the solution is \( x = 3 \).

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What happens if the equation is \( 2x - 6 = 4 \) instead?
2. How would you solve \( 2x + 6 = 0 \)?
3. What would the solution be for \( 3x - 9 = 0 \)?
4. Can you solve \( 4x - 8 = 0 \) and find \( x \)?
5. What is the solution for \( 5x - 10 = 0 \)?

**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 = 0 with a simple, step-by-step solution. This problem introduces basic algebraic techniques, including solving for x by isolating variables and simplifying. Suitable for students in Grades 6-8.

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