If 8 is added to twice a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by negative −28 and 2 is added to the product. what is the number?

(8+2x) -> If 8 is added to twice a number (x)
5*(8+2x) -> and this sum is multiplied by 5
5*(8+2x)=x*(-28)+2   ->the result is the same as if the number is multiplied by negative −28 and 2 is added to the product.

Simplifying the equations on both sides would give
40+10x=-28x+2 transpose -28 to the left side and 40 to the right side
28x+10x=2-40
38x=-38
x=-1