https://file.aiquickdraw.com/mathbot/file/1727640437466sz2x6xkx.jpg

Let's solve the given equation step-by-step:

The equation is:
\[
3x - 7 = 0
\]

### Step 1: Isolate the variable \(x\)
To solve for \(x\), we first add 7 to both sides:
\[
3x = 7
\]

### Step 2: Solve for \(x\)
Next, divide both sides by 3:
\[
x = \frac{7}{3}
\]

Thus, the solution is \(x = \frac{7}{3}\).

### Conclusion:
- The correct choice is **A**: The solution is \(\frac{7}{3}\).

Would you like further details on this, or have any questions?

Here are five relative questions to expand your understanding:
1. How do we handle equations where the variable appears on both sides?
2. What is the general method for solving equations of the form \(ax + b = 0\)?
3. How do we check if a fraction is simplified?
4. How can we solve an equation involving fractions or decimals?
5. What if the equation had no real solution? How would we know?

**Tip**: Always check your solution by plugging it back into the original equation to ensure it satisfies the equation.

Solve the following equation: 3x - 7 = 0. Select the correct choice: A. The solution is [fill in], B. The solution set is (-∞, ∞), C. There is no solution.

Learn how to solve the linear equation 3x - 7 = 0 by isolating the variable x. The detailed explanation covers fundamental algebraic principles and how to check your solution. Suitable for students in Grades 6-8.

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