Let's solve the equation:

\[
3 + 2 - 5 + \frac{1}{2} = x + 4
\]

First, simplify the left-hand side:

\[
3 + 2 = 5
\]
\[
5 - 5 = 0
\]
\[
0 + \frac{1}{2} = \frac{1}{2}
\]

So the equation simplifies to:

\[
\frac{1}{2} = x + 4
\]

Next, isolate \( x \) by subtracting 4 from both sides:

\[
\frac{1}{2} - 4 = x
\]

Convert 4 to a fraction:

\[
4 = \frac{8}{2}
\]

Now, subtract:

\[
\frac{1}{2} - \frac{8}{2} = \frac{-7}{2}
\]

So:

\[
x = \frac{-7}{2}
\]

Or:

\[
x = -\frac{7}{2}
\]

This is the solution to the equation.

Would you like more details or have any questions? 

Here are five related questions:
1. How do you convert mixed numbers into improper fractions?
2. What is the process to solve equations involving decimals?
3. How can you verify the solution of an equation?
4. What are the steps to simplify expressions with multiple operations?
5. How do you handle equations with variables on both sides?

**Tip:** When solving equations, always perform the same operation on both sides to keep the equation balanced.

Learn how to solve the equation 3 + 2 - 5 + (1/2) = x + 4 step-by-step with detailed explanations. This problem involves basic operations and fractions, suitable for students in Grades 6-8.

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