Final answer:
The equation 5(4 – x) = -5x + 20 has an infinite number of solutions.
Step-by-step explanation:
To solve the equation 5(4 – x) = -5x + 20, we can distribute the 5 on the left side to get 20 - 5x = -5x + 20. Notice that the x terms cancel out on both sides, resulting in 20 = 20.
This means that the equation is true for all values of x. Therefore, the equation has an infinite number of solutions.