simplify the expression 6(3x - 5) + 2(3x - 5) - 8(2x - 5) A. 8x B. 24x - 40 C. 36x - 60 D. 48x - 80
To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(2x - 5), we will distribute the terms inside each set of parentheses and then combine like terms.
First, we distribute the terms inside the parentheses:
6(3x - 5) = 18x - 30
2(3x - 5) = 6x - 10
8(2x - 5) = 16x - 40
Now, we substitute these expressions back into the original equation:
18x - 30 + 6x - 10 - 16x + 40
Next, we combine like terms:
(18x + 6x - 16x) - (30 + 10 - 40)
= 8x - 80
Therefore, the simplified expression is 8x - 80. Answer: \boxed{D}.