Question

Question was provided via image upload.

Explanation:

Step1: Simplify left-hand side

First, expand and combine like terms.
$\frac{1}{2}(6x - 10) - x = 3x - 5 - x = 2x - 5$

Step2: Choose contradictory expression

To make the equation true for no $x$, we need an expression that can never equal $2x - 5$. A linear expression with the same slope but different constant term works, e.g., $2x + 1$.

Answer:

$2x + 1$ (any expression of the form $2x + c$ where $c
eq -5$ is valid)