To solve the equation \(6(2x + 4) - 24 = 12x\), let's first simplify the left side.
-
Distribute the 6: \[ 12x + 24 - 24 = 12x \]
-
This simplifies to: \[ 12x = 12x \]
Now, subtract \(12x\) from both sides: \[ 12x - 12x = 12x - 12x \implies 0 = 0 \]
Since the equation simplifies to \(0 = 0\), which is always true, it means that there are an infinite number of solutions.
Therefore, the correct response is: The equation has infinite solutions.