Let's solve the equation step by step:

Given equation:
\[
\frac{x+3}{2} - \frac{x}{4} = 0
\]

### Step 1: Eliminate the fractions by finding a common denominator.
The common denominator for 2 and 4 is 4.

Multiply the entire equation by 4:
\[
4 \cdot \left(\frac{x+3}{2}\right) - 4 \cdot \left(\frac{x}{4}\right) = 4 \cdot 0
\]

This simplifies to:
\[
2(x + 3) - x = 0
\]

### Step 2: Distribute and combine like terms.
Expand and simplify:
\[
2x + 6 - x = 0
\]

Combine the like terms:
\[
x + 6 = 0
\]

### Step 3: Solve for \( x \).
Subtract 6 from both sides:
\[
x = -6
\]

### Final Answer:
\[
x = -6
\]

Would you like further details or have any questions?

Here are some related questions:
1. How would the solution change if the equation was \((x+3)/2 - x/4 = 2\)?
2. What if the equation was \((2x+6)/4 - x/4 = 1\)?
3. How do you solve the equation \((x+5)/3 + (x-2)/6 = 0\)?
4. Can you solve for \(x\) if \((x+3)/2 = 4\)?
5. How does the solution change if the denominator is a variable instead of a number?

**Tip:** When solving equations with fractions, multiplying through by the least common denominator helps eliminate the fractions.

Learn how to solve the equation ((x+3)/2 - x/4 = 0) step-by-step with a detailed solution. This problem covers algebraic equations involving fractions and is suitable for students in Grades 7-9.

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