To solve the equation \( \frac{7x - 5}{2x} = 3 \), follow these steps:

1. **Multiply both sides by \( 2x \) to clear the fraction:**
   \[
   2x \cdot \frac{7x - 5}{2x} = 3 \cdot 2x
   \]
   This simplifies to:
   \[
   7x - 5 = 6x
   \]

2. **Subtract \( 6x \) from both sides to isolate \( x \):**
   \[
   7x - 6x - 5 = 0
   \]
   Simplifying further:
   \[
   x - 5 = 0
   \]

3. **Add 5 to both sides to solve for \( x \):**
   \[
   x = 5
   \]

So, the solution is \( x = 5 \).

Would you like more details or have any questions?

Here are 8 related questions to expand your understanding:

1. How would you solve the equation \( \frac{3x - 2}{4x} = 5 \)?
2. What steps would you take to solve \( \frac{4x + 7}{x} = 8 \)?
3. How do you solve a quadratic equation?
4. What is the solution to the equation \( 2x + 3 = 7 \)?
5. How would you solve \( 5x - 4 = 3x + 2 \)?
6. What is the value of \( x \) in the equation \( 9 - 4x = 3 \)?
7. How can you solve \( 3x/2 - 4 = 5 \)?
8. What is the general method for solving linear equations with fractions?

**Tip:** When solving equations involving fractions, it's often helpful to multiply through by the least common denominator to eliminate the fractions.

Learn how to solve the equation (7x - 5) / (2x) = 3 with a detailed step-by-step solution. This problem covers key algebraic concepts including equations and fractions. Suitable for students in Grades 7-9.

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