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, you should divide both sides of the equation by 4.72.
The equation is: 4.72(x - 6.56) = 10.4
Dividing both sides by 4.72:
4.72(x - 6.56) / 4.72 = 10.4 / 4.72
Simplifying:
(x - 6.56) = 2.2034
To isolate the variable x, you need to add 6.56 to both sides of the equation.
To undo the multiplication by 4.72, we need to divide both sides of the equation by 4.72.
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) ≈ 2.203
To isolate x, we need to get rid of the -6.56 on the left side of the equation. To do this, we add 6.56 to both sides:
(x - 6.56) + 6.56 ≈ 2.203 + 6.56
Simplifying both sides, we have:
x ≈ 8.763
Therefore, the number that should be added to both sides after dividing by 4.72 is 6.56.
To reverse the multiplication by dividing by 4.72, the first step is to divide both sides of the equation by 4.72.
Dividing both sides by 4.72, we get:
4.72(x - 6.56) / 4.72 = 10.4 / 4.72
Simplifying further, we have:
x - 6.56 = 2.203
Now, to isolate the variable x, we need to move the constant term (-6.56) to the other side of the equation. To do that, we can add 6.56 to both sides:
x - 6.56 + 6.56 = 2.203 + 6.56
Simplifying, we obtain:
x = 8.763
So, when dividing by 4.72 and adding 6.56 to both sides, we find that the number to be added on both sides is 6.56.