To solve the equation 4.72(x−6.56)=10.4

Question

, 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 \( 4.72(x - 6.56) = 10.4 \), let's first divide both sides by \( 4.72 \):

\[ x - 6.56 = \frac{10.4}{4.72} \]

Now, calculate \( \frac{10.4}{4.72} \):

\[ \frac{10.4}{4.72} \approx 2.207 \]

So, we have:

\[ x - 6.56 \approx 2.207 \]

Now, to isolate \( x \), we need to add \( 6.56 \) to both sides:

\[ x \approx 2.207 + 6.56 \]

Therefore, the number that should be added to both sides after dividing by \( 4.72 \) is \( 6.56 \).