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The equation you've provided is:

\[
-8 = 2 - x
\]

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

1. **Isolate \( x \)**: Start by subtracting 2 from both sides to move the constant to the left side of the equation.
   \[
   -8 - 2 = -x
   \]
   Simplifying the left side:
   \[
   -10 = -x
   \]

2. **Solve for \( x \)**: To isolate \( x \), multiply both sides by -1.
   \[
   x = 10
   \]

So, the solution is \( x = 10 \).

Would you like further details or explanations? Here are five related questions you might consider:

1. How would the solution change if the equation were \( -8 = 2 + x \)?
2. What are the steps to solve an equation with variables on both sides?
3. How can we check if the solution to the equation is correct?
4. What happens if we have fractions in the equation instead of integers?
5. Can you apply these steps to solve for \( x \) in the equation \( 3x + 4 = 10 \)?

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

Learn how to solve the equation -8 = 2 - x with a detailed step-by-step solution. This problem covers key algebraic concepts, including equation solving techniques. Suitable for students in Grades 7-9.

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