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