To solve the equation \(\frac{5}{8} = \frac{x + 4}{12}\), we can use cross-multiplication. Here's the step-by-step process:

1. Cross-multiply the fractions:

\[
5 \cdot 12 = 8 \cdot (x + 4)
\]

This simplifies to:

\[
60 = 8(x + 4)
\]

2. Distribute the 8 on the right-hand side:

\[
60 = 8x + 32
\]

3. Subtract 32 from both sides:

\[
60 - 32 = 8x
\]

\[
28 = 8x
\]

4. Divide both sides by 8:

\[
x = \frac{28}{8}
\]

Simplify the fraction:

\[
x = \frac{7}{2} \quad \text{or} \quad x = 3.5
\]

Thus, \(x = 3.5\).

Would you like more details on any part of this solution?

Here are 5 related questions:
1. How do you solve similar equations with different denominators?
2. What happens if the equation contains variables on both sides?
3. Can you solve this equation using decimals instead of fractions?
4. How do you verify the solution to a cross-multiplied equation?
5. What if the equation involved negative numbers—how would that change the steps?

**Tip:** Always check for opportunities to simplify fractions early in the process to make calculations easier.

Discover how to solve the equation 5/8 = (x + 4) / 12 using cross-multiplication. This step-by-step guide covers key algebraic techniques for solving linear equations with fractions. Suitable for students in Grades 6-8.

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