Answer:
All options are correct.
Step-by-step explanation:
In option (A), the given equation is
![x-37=x-37](https://tex.z-dn.net/?f=x-37%3Dx-37)
Add 37 on both sides.
![x-37+37=x-37+37](https://tex.z-dn.net/?f=x-37%2B37%3Dx-37%2B37)
![x=x](https://tex.z-dn.net/?f=x%3Dx)
Subtract x from both sides.
![x-x=x-x](https://tex.z-dn.net/?f=x-x%3Dx-x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.
Similarly.
In option (B), the given equation is
![73x-37=73x-37](https://tex.z-dn.net/?f=73x-37%3D73x-37)
![73x=73x](https://tex.z-dn.net/?f=73x%3D73x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.
In option (C), the given equation is
![37x-37=37x-37](https://tex.z-dn.net/?f=37x-37%3D37x-37)
![37x=37x](https://tex.z-dn.net/?f=37x%3D37x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.
In option (D), the given equation is
![74x-37=74x-37](https://tex.z-dn.net/?f=74x-37%3D74x-37)
![74x=74x](https://tex.z-dn.net/?f=74x%3D74x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.
Therefore, all options are correct.