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!

Learn how to solve the linear equation 2x/5 + 3 = 9 step by step. This problem covers key algebraic concepts, including solving linear equations, basic fraction elimination, and equality properties. Ideal for students in Grades 6-8.

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