c. \( m x+2 m-8=m(x+2)+3 \)

To solve the equation \( mx + 2m - 8 = m(x + 2) + 3 \), first distribute \( m \) on the right side: \[ mx + 2m - 8 = mx + 2m + 3. \] Next, you can subtract \( mx + 2m \) from both sides: \[ -8 = 3. \] Oops! This results in an inconsistent equation, indicating that there's no value of \( m \) that satisfies this equation. It's a good example of how sometimes equations can lead to unexpected conclusions, which might happen more often than you think! Keep in mind that when faced with such equations, always check if simplification or manipulation led you astray!