Problem 42

Question

Use the distributive property to rewrite the expression without parentheses. $$ -2(x-6) $$

Step-by-Step Solution

Verified
Answer
The simplified expression is -2x + 12.
1Step 1: Identify the terms
The expression is -2 multiplied by the quantity (x-6). This means -2 is being multiplied by both \(x\) and \(-6\).
2Step 2: Apply Distributive Property
Applying the distributive property, -2 is multiplied individually by each term inside the parentheses. This means multiplying -2 by x to get -2x and -2 by -6 to get 12.
3Step 3: Write the simplified expression
Combine the results from the multiplication to get the final simplified expression. In this case, the final simplified expression is -2x + 12.