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The given expression is:

\[
\frac{5}{6 - 2x}
\]

To determine when this expression is undefined, we need to find the value of \(x\) that makes the denominator equal to zero. 

So, solve for \(x\) when:

\[
6 - 2x = 0
\]

### Steps:
1. Add \(2x\) to both sides:

   \[
   6 = 2x
   \]

2. Divide both sides by 2:

   \[
   x = 3
   \]

Thus, the expression is **undefined** when \(x = 3\).

Would you like more details on why the expression is undefined in this case?

Here are 5 related questions to explore:
1. What does it mean for a rational expression to be undefined?
2. How can we determine when an expression with multiple variables is undefined?
3. What is the impact of different coefficients on the domain of the expression?
4. How would the answer change if the expression were \(\frac{5}{6 + 2x}\)?
5. What happens when \(x\) approaches the value that makes the denominator zero?

**Tip:** Always check the denominator of a fraction for any value of \(x\) that would make it zero—this leads to an undefined expression!

For what value of x is the expression 5 / (6 - 2x) undefined?

Learn how to solve the rational expression 5 / (6 - 2x) and determine for what value of x the expression becomes undefined. This solution covers key algebra concepts like solving equations with variables in the denominator. Suitable for students in Grades 7-10.

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