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