1. The problem asks to find $(f - g)(x)$ given $f(x) = 7x - 6$ and $g(x) = 2x - 4$. 2. The formula for the difference of two functions is: $$ (f - g)(x) = f(x) - g(x) $$ 3. Substitute the given functions: $$ (f - g)(x) = (7x - 6) - (2x - 4) $$ 4. Distribute the minus sign: $$ (f - g)(x) = 7x - 6 - 2x + 4 $$ 5. Combine like terms: $$ (f - g)(x) = (7x - 2x) + (-6 + 4) = 5x - 2 $$ 6. Therefore, the function $(f - g)(x)$ is: $$ \boxed{5x - 2} $$