Let's simplify the expression \( 5 - 2(4x - 6) \):

1. Distribute the \(-2\) to the terms inside the parentheses:
   \[
   5 - 2(4x) + 2(6)
   \]
   Which gives:
   \[
   5 - 8x + 12
   \]

2. Combine the constant terms \( 5 \) and \( 12 \):
   \[
   17 - 8x
   \]

So, the simplified expression is:
\[
17 - 8x
\]

Would you like more details or have any questions?

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Here are 5 related questions:

1. How do you solve \( 3 - 5(2x + 1) \)?
2. What is the value of \( x \) when \( 17 - 8x = 0 \)?
3. How do you factor the expression \( 8x - 17 \)?
4. Can you simplify \( 6 - 3(4x - 2) \)?
5. How would you expand \( 7 + 3(2x + 5) \)?

**Tip:** Always apply the distributive property carefully, making sure to distribute to both terms inside the parentheses.

Learn how to simplify the algebraic expression 5 - 2(4x - 6) with a step-by-step solution. This problem covers key algebra concepts such as the distributive property and combining like terms, making it suitable for students in Grades 6-8.

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