We have a number x.
A number minus 37, times (-47) is equal to 32 less than the number.
The number x minus 37 is (x-37). If we multiply it by (-47) we get -47(x-37).
This is equal to 32 less than x, that is x-32.
Then, we can write:
![-47(x-37)=x-32](https://img.qammunity.org/2023/formulas/mathematics/college/fuv92skhon0m91jgcwxlrbr39nkvzyghoz.png)
We can find the number x as:
![\begin{gathered} -47x-37=x-32 \\ -37+32=x+47x \\ -5=48x \\ x=-(5)/(48) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c8m8w03qfvhd8b1g6f2adi1vkv51x9ucuy.png)
Answer: the number is -5/48.