n 4.72(x-6.56)=10.4the first step is to reverse the multiplication by 4.72 after divideding by 4.72 what number shoudbe added to both sides

Answer 1

To solve the equation \( 4.72(x - 6.56) = 10.4 \), you first reverse the multiplication by dividing both sides by \( 4.72 \):

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

Calculating the right-hand side:

\[ \frac{10.4}{4.72} \approx 2.2068 \]

Now you have:

\[ x - 6.56 = 2.2068 \]

Next, to isolate \( x \), you need to add \( 6.56 \) to both sides of the equation:

\[ x = 2.2068 + 6.56 \]

Calculating that gives:

\[ x \approx 8.7668 \]

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