To solve the equation \( 15 = \frac{x}{26} + \frac{x}{1.29} \) for \( x \), follow these steps:

1. **Combine the fractions:**

   Since the equation is \( 15 = \frac{x}{26} + \frac{x}{1.29} \), factor out the common \( x \):

   \[
   15 = x \left( \frac{1}{26} + \frac{1}{1.29} \right)
   \]

2. **Find a common denominator and simplify:**

   Calculate \( \frac{1}{26} + \frac{1}{1.29} \).

   \[
   \frac{1}{26} \approx 0.0385 \quad \text{and} \quad \frac{1}{1.29} \approx 0.7752
   \]

   \[
   \frac{1}{26} + \frac{1}{1.29} \approx 0.0385 + 0.7752 = 0.8137
   \]

   So, the equation becomes:

   \[
   15 = 0.8137x
   \]

3. **Solve for \( x \):**

   \[
   x = \frac{15}{0.8137} \approx 18.43
   \]

So, \( x \approx 18.43 \).

Would you like any details or have any questions about this solution? Here are some related questions to consider:

1. How do you calculate the sum of fractions with different denominators?
2. What are other methods to solve equations involving fractions?
3. Can you solve similar problems with different values for \( x \)?
4. How do you determine if a solution to an equation is correct?
5. What is the significance of factoring out common terms in an equation?

**Tip:** Always double-check your arithmetic when dealing with decimals to ensure accuracy.

Learn how to solve the equation 15 = x/26 + x/1.29 step-by-step with a detailed solution. This problem involves solving equations with fractions and calculating with decimals. Suitable for students in Grades 7-9.

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