Question

Solve for x
𝑥
in the equation 102.5(x−11.92)=71.6
102.5
(
𝑥
−
11.92
)..

Answer 1

To solve for \( x \) in the equation

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

we can start by isolating \( x \).

1. Divide both sides of the equation by 102.5:

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

2. Calculate the right-hand side:

\[
x - 11.92 \approx 0.698048
\]

3. Add 11.92 to both sides:

\[
x \approx 0.698048 + 11.92
\]
\[
x \approx 12.618048
\]

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

\[
x \approx 12.62
\] (rounded to two decimal places).