To solve the equation $\frac{2x}{5} + 3 = 9$, follow these steps:

Step 1: Subtract 3 from both sides.

$\frac{2x}{5} + 3 - 3 = 9 - 3$ $\frac{2x}{5} = 6$

Step 2: Multiply both sides by 5 to eliminate the fraction.

$5 \times \frac{2x}{5} = 6 \times 5$ $2x = 30$

Step 3: Divide both sides by 2.

$\frac{2x}{2} = \frac{30}{2}$ $x = 15$

Thus, the solution is $x = 15$.

Would you like more details or have any questions?

Here are some related questions to explore:

1. How would you solve $\frac{3x}{4} + 2 = 10$?
2. What is the value of $x$ in $5x + 7 = 32$?
3. How do you solve $\frac{4x - 1}{3} = 5$?
4. What if $2x/5 + 3 = y$? How does the approach change?
5. How would you verify the solution for $x = 15$ in the original equation?

Tip: Always perform the same operation on both sides of an equation to maintain equality!