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?

Answer 1

To solve the equation $4.72(x-6.56)=10.4$, you would first divide both sides by $4.72$:

$$x-6.56=\frac{10.4}{4.72}$$

Now, let's calculate $\frac{10.4}{4.72}$:

$$\frac{10.4}{4.72}\approx 2.2067$$

So, after dividing by $4.72$, the equation becomes:

$$x-6.56\approx 2.2067$$

Next, to isolate $x$, you need to add $6.56$ to both sides of the equation:

$$x\approx 2.2067+6.56$$

Thus, the number that should be added to both sides after dividing is $6.56$.