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 4.72 what number should be added to both sides

Answer 1

To solve the equation \( 4.72 ( x - 6.56 ) = 10.4 \), the first step is indeed to divide both sides by \( 4.72 \).

1. Divide both sides by \( 4.72 \): \[ x - 6.56 = \frac{10.4}{4.72} \]

Next, let's calculate \( \frac{10.4}{4.72} \):

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

So the equation now looks like this:

2. Update the equation: \[ x - 6.56 = 2.2068 \]

3. To isolate \( x \), add \( 6.56 \) to both sides: \[ x = 2.2068 + 6.56 \]

Now, you can calculate the sum:

\[ 2.2068 + 6.56 \approx 8.7668 \]

So, the number you should add to both sides after dividing by \( 4.72 \) is \( 6.56 \) to solve for \( x \).