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The equation given is:

\[
2x - 10 = -8
\]

To solve for \( x \), follow these steps:

1. **Add 10 to both sides** to eliminate the constant on the left side:
   \[
   2x - 10 + 10 = -8 + 10
   \]
   This simplifies to:
   \[
   2x = 2
   \]

2. **Divide both sides by 2** to isolate \( x \):
   \[
   \frac{2x}{2} = \frac{2}{2}
   \]
   Simplifying further gives:
   \[
   x = 1
   \]

So, the solution is \( x = 1 \).

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

Here are 5 related questions to explore:

1. What is the solution to the equation \( 3x - 9 = 0 \)?
2. How do you solve the equation \( 4x + 5 = 21 \) for \( x \)?
3. What steps would you take to solve the equation \( 5x - 15 = 10 \)?
4. How can you verify the solution to \( 2x - 10 = -8 \) by substituting back into the original equation?
5. What happens to the solution if the equation was \( 2x - 10 = -12 \)?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 2x - 10 = -8 step-by-step. This problem covers basic algebraic concepts, including isolating the variable and solving for x. Suitable for students in Grades 6-8.

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