To reverse the multiplication, you need to divide both sides of the equation by 4.72. This will eliminate the 4.72 coefficient on the left side of the equation.
Dividing both sides of the equation 4.72(x - 6.56) = 10.4 by 4.72, we get:
(x - 6.56) = 10.4 ÷ 4.72
Simplifying the right side of the equation, we have:
(x - 6.56) ≈ 2.203
To isolate the variable "x," we need to get rid of the -6.56 on the left side of the equation. Since -6.56 is already subtracted, we need to add it to both sides of the equation.
Adding 6.56 to both sides, we have:
(x - 6.56) + 6.56 ≈ 2.203 + 6.56
Simplifying both sides, we get:
x ≈ 8.763
Therefore, the number that should be added to both sides of the equation is 6.56.