Let's solve the expression \( 5 - 2(3x - 4) \).

### Step-by-step solution:

1. **Distribute the \(-2\)** through the parentheses:
   \[
   5 - 2(3x - 4) = 5 - 2 \cdot 3x + 2 \cdot 4
   \]
   \[
   = 5 - 6x + 8
   \]

2. **Simplify the constants**:
   \[
   = (5 + 8) - 6x
   \]
   \[
   = 13 - 6x
   \]

### Final Answer:
\[
5 - 2(3x - 4) = 13 - 6x
\]

Would you like more details on any step or have any questions?

Here are 5 related questions:
1. What happens if we have \( 5 - 3(2x + 1) \)?
2. How do we solve \( 4 - 2(x - 7) + 3x \)?
3. How do you handle an equation like \( 6 - 5(2x + 3) = 10 \)?
4. What is the result of distributing a negative sign over \( -(x - 5) \)?
5. Can we simplify the expression \( 3(x - 2) - 2(x + 4) \)?

**Tip**: Always simplify expressions by applying the distributive property first, then combine like terms!

Learn how to simplify the expression 5 - 2(3x - 4) using the distributive property. This problem breaks down each step, from distributing the constant to combining like terms. Suitable for students in Grades 6-8.

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