Final answer:
The expression 2(3x-4) can be simplified to 6x-8 using the distributive property.
Step-by-step explanation:
The expression 2(3x-4) can be simplified by using the distributive property, which states that when a number is multiplied by a sum or difference inside parentheses, you distribute the number to each term inside the parentheses. In this case, the 2 needs to be multiplied by both 3x and -4. So, the expression becomes:
2 * 3x - 2 * 4
Simplifying further:
6x - 8
Comparing this simplified expression to the given options, we can see that the expression 6x-8 is equivalent to 2(3x-4), so the correct answer is (c) 6x-8.