Answer:
A, B, and C.
Step-by-step explanation:
We have the equation:
![4(x-3)=4x-12](https://tex.z-dn.net/?f=4%28x-3%29%3D4x-12)
Let’s distribute the left. This yields:
![4x-12=4x-12](https://tex.z-dn.net/?f=4x-12%3D4x-12)
Let’s add 12 to both sides:
![4x=4x](https://tex.z-dn.net/?f=4x%3D4x)
And subtract 4x from both sides:
![0=0](https://tex.z-dn.net/?f=0%3D0)
We get the true statement 0=0.
Hence, A is correct.
Because it is a true statement, <em>any</em> input will yield an equivalent output.
Hence, B is also correct.
We also have the form a=a, where a is 0.
Hence, C is also correct.
Therefore, our correct answers are A, B, and C.