Let's solve the expression:

\[
5(x + 8) + 3(2x - 4)
\]

### Step 1: Distribute the terms inside the parentheses.

- For \( 5(x + 8) \), apply the distributive property:
  \[
  5(x + 8) = 5x + 40
  \]
  
- For \( 3(2x - 4) \), apply the distributive property:
  \[
  3(2x - 4) = 6x - 12
  \]

### Step 2: Combine the expressions.

Now, combine the distributed terms:
\[
5x + 40 + 6x - 12
\]

### Step 3: Combine like terms.

- Combine \( 5x \) and \( 6x \):
  \[
  5x + 6x = 11x
  \]
  
- Combine \( 40 \) and \( -12 \):
  \[
  40 - 12 = 28
  \]

### Final Answer:
\[
11x + 28
\]

Would you like more details or have any questions?

Here are five related questions you could try:
1. Simplify \( 4(x + 6) + 7(3x - 5) \).
2. Solve for \( x \) in the equation \( 5x + 28 = 63 \).
3. Factor the expression \( 11x + 28 \).
4. Solve \( 5(x + 8) = 3(2x - 4) \) as an equation.
5. Expand and simplify \( 7(2x + 3) - 5(x - 4) \).

**Tip:** Always perform distribution before combining like terms when simplifying algebraic expressions.

Learn how to simplify the algebraic expression 5(x + 8) + 3(2x - 4) using the distributive property and combining like terms. This step-by-step guide is ideal for students in Grades 6-8 and covers key algebra concepts.

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