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?
To reverse the multiplication by dividing by 4.72, we need to divide both sides of the equation 4.72(x-6.56) = 10.4 by 4.72.
This gives us:
(x-6.56) = 10.4/4.72
To solve for x, we can add 6.56 to both sides of the equation:
(x-6.56) + 6.56 = 10.4/4.72 + 6.56
Simplifying, we get:
x = 10.4/4.72 + 6.56
To reverse the multiplication by dividing by 4.72, you should divide both sides of the equation by 4.72. This will isolate the variable x on one side of the equation.
So, 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
Using a calculator, you can simplify the right side of the equation:
x - 6.56 = 2.2034
To isolate the variable x, you need to add 6.56 to both sides of the equation. This will cancel out the -6.56 on the left side, leaving only x.
Therefore, adding 6.56 to both sides of the equation (x - 6.56) = 2.2034, we get:
(x - 6.56) + 6.56 = 2.2034 + 6.56
Simplifying further, we have:
x = 8.7634
So, after dividing by 4.72, you need to add 6.56 to both sides to solve the equation.
To reverse the multiplication by dividing by 4.72, you should divide both sides of the equation by 4.72. This cancels out the 4.72 on the left side, leaving you with (x - 6.56) on the left side of the equation:
(x - 6.56) = 10.4 ÷ 4.72
Now, to isolate the variable x on the left side, you need to cancel out the subtraction by adding 6.56 to both sides of the equation:
(x - 6.56) + 6.56 = (10.4 ÷ 4.72) + 6.56
Simplifying further:
x = (10.4 ÷ 4.72) + 6.56
To find the number that should be added to both sides after dividing by 4.72, you would need to evaluate the expression (10.4 ÷ 4.72) + 6.56.