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)blank
To reverse the multiplication by dividing by 4.72, you need to divide both sides of the equation by 4.72.
Dividing both sides by 4.72, the equation becomes:
(x - 6.56) = 10.4 / 4.72
So, the number that should be added to both sides is 10.4 / 4.72.
To reverse the multiplication in the equation 4.72(x−6.56)=10.4, the first step is to divide both sides of the equation by 4.72. This will isolate the variable x.
Dividing both sides by 4.72, we get:
(x−6.56) = 10.4 ÷ 4.72
Now, to isolate x on the left side of the equation, we need to eliminate the -6.56 that's subtracted from it. To do this, we need to find the additive inverse of -6.56, which is +6.56.
Adding 6.56 to both sides of the equation, we get:
(x−6.56) + 6.56 = (10.4 ÷ 4.72) + 6.56
Simplifying both sides, we have:
x = (10.4 ÷ 4.72) + 6.56
Therefore, the number that should be added to both sides after dividing by 4.72 is 6.56.