Solve for x in the equation 102.5(x−11.92)=71.6102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.

Answer 1

To solve for \( x \) in the equation

\[ 102.5(x - 11.92) = 71.6, \]

we will first isolate \( x \).

1. Divide both sides by 102.5:

\[ x - 11.92 = \frac{71.6}{102.5}. \]

2. Calculate \( \frac{71.6}{102.5} \):

\[ \frac{71.6}{102.5} \approx 0.698. \]

3. Now we have:

\[ x - 11.92 \approx 0.698. \]

4. Next, add \( 11.92 \) to both sides:

\[ x \approx 0.698 + 11.92. \]

5. Calculate \( 0.698 + 11.92 \):

\[ x \approx 12.618. \]

Rounding \( x \) to 3 decimal places, we get:

\[ \boxed{12.618}. \]