To solve the equation \( 2 = \frac{1}{5} (8x - 15) \), follow these steps:

1. **Eliminate the fraction**: Multiply both sides of the equation by 5 to get rid of the fraction.
   \[
   5 \times 2 = 5 \times \frac{1}{5} (8x - 15)
   \]
   This simplifies to:
   \[
   10 = 8x - 15
   \]

2. **Isolate the variable term**: Add 15 to both sides to isolate the term with the variable \( x \).
   \[
   10 + 15 = 8x
   \]
   Simplifying this gives:
   \[
   25 = 8x
   \]

3. **Solve for \( x \)**: Divide both sides by 8 to solve for \( x \).
   \[
   x = \frac{25}{8}
   \]

   Therefore, the solution is:
   \[
   x = \frac{25}{8}
   \]

This can also be written as a decimal:
   \[
   x = 3.125
   \]

Would you like to go over any details or have any further questions?

Here are some related questions you might find interesting:

1. How do you solve linear equations with fractions on both sides?
2. What happens if there's more than one fraction in an equation?
3. Can you show a step-by-step process for solving an equation involving distribution?
4. How do you check if your solution to an equation is correct?
5. How do you solve a linear equation with variables on both sides?

**Tip:** When solving equations, always aim to eliminate fractions early to simplify your work.

Learn how to solve the equation 2 = (1/5) (8x - 15) with a detailed step-by-step solution. This problem involves equations with fractions and basic algebraic manipulation. Suitable for students in Grades 7-9.

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