Simplify. Correct answer gets Brainliest.

Hi,
Answer: 4 and -3
My Numerical work:
1. 4 -|2x-1|=-3
2. -|2x-1|+4=-3
Add -4 to both sides:
3. -|2x-1|+4+-4=-3+-4
4. -|2x-1|=-7
Divide both sides by -1
5. -|2x-1| /-1 = -7 / -1
6. |2x-1| / -1 = 7
Solve Absolute Value:
7. |2x-1|=7
We know that the answer could either be 7 or -7
8. 2x-1=7
9. 2x-1+1=7+1
10. 2x=8
Divide 2 and 8:
11. X=4
12. 2x -2= -7
13. 2x-1+1=-7+1
14. 2x = -6
Divide 2 with -6:
15. X=-3
16, X=4 And =-3
I Hope I Helped!