when the product of -5 and an unknown number is decreased by 11, the result is 15. find the number.

Product means times and decreased means subtract:

-5 · x - 11 = 15

-5x - 11 = 15              To remove - 11 and 11 to both sides.

-5x - 11 + 11 = 15 + 11

-5x = 26                     To remove -5 which is multiplied to x, divide by -5

-5x/-5 = 26/-5

x = -5.2

-5x-11=15

-5x=15+11

-5x=26

x=-26/5

x=-5  1/5