To solve the equation \( 125 = 95 \cdot x \) for \( x \), follow these steps:

1. Start by isolating \( x \) on one side of the equation. To do this, divide both sides by 95:

\[
x = \frac{125}{95}
\]

2. Simplify the fraction:

\[
x = \frac{25 \times 5}{19 \times 5} = \frac{25}{19}
\]

So, the solution is:

\[
x = \frac{25}{19}
\]

If you want the decimal form, \( x \approx 1.3158 \).

Would you like a more detailed explanation or have any other questions?

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Here are 5 related questions to explore further:

1. How would you solve \( 150 = 120 \cdot y \) for \( y \)?
2. What is the decimal approximation of \( \frac{25}{19} \) to three decimal places?
3. How do you solve the equation \( 95x + 30 = 125 \)?
4. What is the process for simplifying the fraction \( \frac{125}{95} \) into \( \frac{25}{19} \)?
5. What is the geometric interpretation of solving a linear equation like \( 125 = 95 \cdot x \)?

**Tip:** Always simplify fractions by finding the greatest common divisor (GCD) of the numerator and the denominator.

Learn how to solve the equation 125 = 95 * x step-by-step with a detailed solution. This problem involves isolating the variable x using division and simplifying the resulting fraction. Suitable for Grades 7-9 mathematics students.

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