Solve for x in the equation 10.25(x−4.4)=69.7 .(1 point)

Answer 1

To solve the equation \( 10.25(x - 4.4) = 69.7 \), follow these steps:

1. Distribute \( 10.25 \) on the left side:

   \[ 10.25x - 10.25 \cdot 4.4 = 69.7 \]

   Calculate \( 10.25 \cdot 4.4 \):

   \[ 10.25 \cdot 4.4 = 45.1 \]

   So the equation now becomes:

   \[ 10.25x - 45.1 = 69.7 \]

2. Isolate the term with \( x \) by adding \( 45.1 \) to both sides:

   \[ 10.25x = 69.7 + 45.1 \]

   Calculate the right side:

   \[ 69.7 + 45.1 = 114.8 \]

   Now we have:

   \[ 10.25x = 114.8 \]

3. Solve for \( x \) by dividing both sides by \( 10.25 \):

   \[ x = \frac{114.8}{10.25} \]

   Calculate the division:

   \[ x \approx 11.2 \]

Thus, the solution for \( x \) is:

\[ \boxed{11.2} \]