The problem in the image involves simplifying and solving equations by factoring out common terms and isolating the variable. Let's solve it step by step:

1. Step 1: Factoring out a common term

   • The equation appears to be $x - 5 =$.
   • To rewrite this by factoring, identify if there is a common factor between $x$ and $-5$. Here, there isn't a common factor to extract from the left side because it's a linear equation.

   Instead, you might leave $x - 5$ as is or divide each side if a numerical value is present on the right-hand side.

2. Step 2: Isolating the variable
   To isolate $x$, we simply add 5 to both sides of the equation:
   $x = 5 + \text{(whatever term is on the right-hand side)}.$

If you provide the term on the right-hand side (e.g., a number or expression), I can complete the solution.

Do you want further details or have specific questions about this process? Here are some guiding questions to explore:

1. What is the value on the right-hand side of the equation to complete this?
2. How do you decide when to factor versus distribute first?
3. What strategies help in recognizing common factors in equations?
4. Would you like a worked example of factoring or distribution in solving equations?
5. What other operations might you apply to both sides when isolating a variable?

Tip: Always double-check your work by substituting the solution back into the original equation to verify correctness.