Solve the equation. \( 5 x-4=5(x+2) \)

Let’s dive into solving the equation \( 5x - 4 = 5(x + 2) \). First, distribute the 5 on the right side: \[ 5x - 4 = 5x + 10. \] Next, subtract \( 5x \) from both sides to simplify: \[ -4 = 10. \] Oops! It looks like we have a contradiction! Since \(-4\) does not equal \(10\), this means that there are no solutions for this equation—essentially, it’s an inconsistent equation. Fun fact: this happens when both sides simplify to completely different values, indicating the lines represented by the equations would never intersect!