To solve the equation \( \frac{1}{4} = \frac{5}{x + 5} \), we can follow these steps:

1. **Cross-multiply** to eliminate the fractions:
   \[
   1 \cdot (x + 5) = 4 \cdot 5
   \]

2. **Simplify** the equation:
   \[
   x + 5 = 20
   \]

3. **Solve for \( x \)**:
   \[
   x = 20 - 5
   \]
   \[
   x = 15
   \]

So, the solution is \( x = 15 \).

Would you like more details, or do you have any questions about the process? Here are some related questions:

1. What happens if the equation was \(\frac{1}{4} = \frac{5}{x - 5}\)?
2. How do you solve an equation with two fractions, like \(\frac{a}{b} = \frac{c}{d}\)?
3. What if the equation was \(\frac{2}{4} = \frac{5}{x + 5}\)?
4. How do you check if your solution to an equation is correct?
5. What happens if there is a negative sign in the equation, like \( \frac{1}{4} = \frac{-5}{x + 5}\)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Discover how to solve the rational equation 1/4 = 5/(x + 5) using cross-multiplication. This solution covers essential algebraic concepts and is ideal for students in Grades 7-9.

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