To solve the equation 4.72(x - 6.56)=10.4, the first step is to reverse the multipcation by dividing by 4.72
. After dividing by 4.72, what number should be added to both sides?
To solve the equation 4.72(x - 6.56) = 10.4, the first step is indeed to reverse the multiplication by dividing both sides of the equation by 4.72.
To do this, we divide both sides of the equation by 4.72:
4.72(x - 6.56)/4.72 = 10.4/4.72
This simplifies to:
x - 6.56 = 2.2033898305084746
Now, to isolate the variable x, we want to isolate it on one side of the equation. In order to do this, we need to add 6.56 to both sides of the equation.
x - 6.56 + 6.56 = 2.2033898305084746 + 6.56
After simplifying, the equation becomes:
x = 8.763389830508475
Therefore, the number that should be added to both sides of the equation is 6.56.