We will solve the equation step by step:

$\sqrt{2x} + 3 = 9$

Step 1: Isolate the Square Root

Subtract 3 from both sides:

$\sqrt{2x} = 6$

Step 2: Square Both Sides

To remove the square root, square both sides:

$(\sqrt{2x})^2 = 6^2$

$2x = 36$

Step 3: Solve for $x$

Divide both sides by 2:

$x = 18$

Final Answer:

$\boxed{18}$

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

Related Problems:

1. Solve $\sqrt{3x} + 5 = 11$
2. Solve $\sqrt{4x - 1} = 5$
3. Solve $\sqrt{x + 2} + 7 = 10$
4. Solve $2\sqrt{x} + 1 = 9$
5. Solve $\sqrt{5x + 4} = 3$

Tip:

When solving square root equations, always check for extraneous solutions by substituting the answer back into the original equation.