Tell how many solutions the following equation has.
5(x - 3) + 6 = 5x - 9
The equation is:
5(x - 3) + 6 = 5x - 9
Expanding the left side of the equation:
5x - 15 + 6 = 5x - 9
Combining like terms:
5x - 9 = 5x - 9
The variable x is eliminated when we subtract 5x from both sides:
-9 = -9
This equation is always true, which means that any value of x would satisfy the equation. Therefore, this equation has infinitely many solutions.