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The solution to the equation \(\frac{x-4}{x-2} = \frac{7}{9}\) is:

\[
x = 11
\]

Would you like a more detailed explanation, or do you have any questions?

Here are 5 related questions you might find helpful:
1. How do you solve equations involving fractions step by step?
2. What are cross-multiplication techniques for solving rational equations?
3. What is the difference between rational and linear equations?
4. How do you check if your solution to an equation is correct?
5. How can you manipulate and simplify algebraic expressions?

**Tip:** Always verify your solution by substituting it back into the original equation!

Solve for x and simplify the answer fully: (x - 4) / (x - 2) = 7 / 9

Learn how to solve the rational equation (x - 4) / (x - 2) = 7 / 9 using the cross-multiplication technique. A step-by-step guide for students in Grades 7-9, explaining key algebraic concepts.

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