The equation from the image is:

$\frac{x}{5} = \frac{x+2}{9}$

To solve for $x$, let's follow these steps:

1. Cross-multiply to eliminate the denominators: $9x = 5(x + 2)$

2. Expand the equation: $9x = 5x + 10$

3. Isolate the variable by moving terms involving $x$ to one side: $9x - 5x = 10$ $4x = 10$

4. Solve for $x$: $x = \frac{10}{4} = 2.5$

So, the solution is $x = 2.5$.

Would you like further clarification, or do you have any questions about this process?

Here are 5 related questions to deepen your understanding:

1. How would you solve the equation if there were different constants in the denominators?
2. Can this process of cross-multiplication be applied to any rational equation?
3. What happens if one side of the equation is already simplified to a constant?
4. Can you think of real-world problems that use ratios similar to this?
5. How would the equation change if the fraction included a square term in $x$?

Tip: Always check your solution by substituting the value of $x$ back into the original equation.