Answer:
x = -6; the number is -6!
Explanation:
This is a somewhat wordy question, but it is actually easy to solve once you write it down!
It should look like this:
![5x-2=7x+10](https://img.qammunity.org/2022/formulas/mathematics/college/jpvokxqhd43h47tbyie51vot80j11zwqpy.png)
See? It's simple! Now we just solve from there.
![5x-2=7x+10\\-2x-2=10\\-2x=12\\x=-6](https://img.qammunity.org/2022/formulas/mathematics/college/athft43rce067lqmv71q0fd6ap76t1uexd.png)
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