The image contains a question asking the user to solve the equation $6 - 2x = 10$, with each step requiring justification based on mathematical properties. Let’s break this down step by step with the corresponding justifications.

Step-by-Step Solution:

1. Original Equation: $6 - 2x = 10$
   Justification: Given

2. Subtract 6 from both sides:
   $-2x = 10 - 6$
   Justification: Subtraction Property of Equality

3. Simplify the right-hand side:
   $-2x = 4$
   Justification: Simplification

4. Divide both sides by -2:
   $x = \frac{4}{-2}$
   Justification: Division Property of Equality

5. Simplify the fraction:
   $x = -2$
   Justification: Simplification

Let me know if you'd like a clearer breakdown or additional explanation!

5 Related Questions:

1. What is the Subtraction Property of Equality?
2. How do you justify simplifying expressions in an equation?
3. Why is dividing by a negative number valid in an equation?
4. How do you know when to stop solving for $x$?
5. Can this process be applied to equations with fractions?

Tip:

Always keep your work organized and justify every step logically to avoid mistakes and understand your process better.