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

Question

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)...

Answer 1

To begin solving the equation \( 4.72(x - 6.56) = 10.4 \), we first divide both sides by 4.72:

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

Calculating \( \frac{10.4}{4.72} \):

\[ \frac{10.4}{4.72} \approx 2.2086 \]

So we have:

\[ x - 6.56 \approx 2.2086 \]

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

\[ x \approx 2.2086 + 6.56 \]

Therefore, the number that should be added to both sides is 6.56.

So, the answer is:

6.56