The expression \( 5(x - 2) \) represents the product of 5 and the quantity \( x - 2 \). To simplify this expression, distribute the 5 to both terms inside the parentheses:

\[
5(x - 2) = 5 \cdot x - 5 \cdot 2
\]

\[
5(x - 2) = 5x - 10
\]

So, the simplified form of the expression is \( 5x - 10 \).

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Here are 5 related questions:
1. How would you simplify \( 7(x + 3) \)?
2. What is the result of \( 6(2x - 4) \)?
3. How do you solve the equation \( 5(x - 2) = 15 \)?
4. How do you factor the expression \( 5x - 10 \) back into its original form?
5. What is the value of \( 5(x - 2) \) when \( x = 4 \)?

**Tip:** When distributing a number over a binomial (an expression with two terms), multiply the number by each term inside the parentheses individually.

Learn how to simplify the expression 5(x - 2) using the distributive property. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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