https://file.aiquickdraw.com/mathbot/file/17263699118160hypbf6k.jpg

The equation shown in the image is:

\[
\sqrt{2x} + 3 = 9
\]

Let's solve for \( x \):

### Step 1: Isolate the square root term.
Subtract 3 from both sides:

\[
\sqrt{2x} = 9 - 3
\]

\[
\sqrt{2x} = 6
\]

### Step 2: Square both sides to eliminate the square root.
\[
(\sqrt{2x})^2 = 6^2
\]

\[
2x = 36
\]

### Step 3: Solve for \( x \).
Divide both sides by 2:

\[
x = \frac{36}{2}
\]

\[
x = 18
\]

### Final Answer:
\[
x = 18
\]

Would you like further explanation or have any questions?

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Here are some related questions for practice:
1. Solve \( \sqrt{3x} + 2 = 8 \).
2. Solve \( \sqrt{5x + 1} = 4 \).
3. Solve \( \sqrt{4x + 6} - 2 = 5 \).
4. Solve \( \sqrt{2x + 9} = 7 \).
5. Solve \( \sqrt{x + 1} + 4 = 10 \).

**Tip**: Always isolate the square root term before squaring both sides of the equation to simplify your work.

Learn how to solve the radical equation √(2x) + 3 = 9 with a detailed step-by-step solution. This problem involves isolating the square root term, squaring both sides, and solving for x. Suitable for students in Grades 7-9.

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