Answer:
Infinite solutions (D).
Explanation:
Here is how:
To determine the true statement about the given equation, let's simplify it step by step:
-9(x + 3) + 12 = -3(2x + 5) - 3x
Distributing the -9 and -3 on the left and right sides respectively:
-9x - 27 + 12 = -6x - 15 - 3x
Combining like terms:
-9x - 15 = -9x - 15
Now, let's analyze the equation. We have -9x on both sides, and -15 on both sides. By subtracting -9x from both sides and -15 from both sides, we obtain:
0 = 0
This equation is true regardless of the value of x. In other words, it holds for all values of x. Therefore, the equation has infinitely many solutions.