Let' call the number 'M' for 'mystery number'.
The number . . . . . M
Five times the number . . . 5 M
The sum of 5 times the number and -6 . . . 5 M - 6
You said that's -2 . So I can write
5 M - 6 = -2
Add 6 to each side: 5 M = 4
Divide each side by 5 : M = 4/5 or 0.8 .