Question
To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?(1 point)
To find out what number should be added to both sides of the equation after dividing by 4.72, we need to isolate the variable x on one side of the equation.
Dividing both sides of the equation by 4.72, we get:
(x-6.56) = 10.4/4.72
Simplifying the right side of the equation, we have:
(x-6.56) = 2.2034
Now, to isolate x, we need to eliminate the -6.56 on the left side of the equation. We can do this by adding 6.56 to both sides of the equation.
Adding 6.56 to both sides:
x = 2.2034 + 6.56
Simplifying the right side of the equation, we get:
x = 8.7634
So, the number that should be added to both sides after dividing by 4.72 is 6.56.