Final answer:
The equation 4x - 4 + x = 5x - 4 simplifies to 5x - 4 = 5x - 4, indicating that it has infinitely many solutions because every value of x will satisfy the equation.
Step-by-step explanation:
The equation given is 4x - 4 + x = 5x - 4.
To find how many solutions the equation has, we first combine like terms.
The equation simplifies to 5x - 4 = 5x - 4. This indicates that we have the same expression on both sides of the equation, which means every value of x will satisfy this equation. Therefore, the equation has infinitely many solutions.