6(3x - 5) + 2(3x - 5) - 8(3x - 5)
To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(3x - 5), we can use the distributive property.
First, distribute the 6 to both terms within the parentheses:
6 * 3x = 18x
6 * (-5) = -30
Next, distribute the 2 to both terms within the parentheses:
2 * 3x = 6x
2 * (-5) = -10
Finally, distribute the -8 to both terms within the parentheses:
-8 * 3x = -24x
-8 * (-5) = 40
The simplified expression becomes:
18x - 30 + 6x - 10 - 24x + 40
Next, combine like terms:
(18x + 6x - 24x) + (-30 - 10 + 40)
18x + 6x - 24x can be grouped together to give:
(18 + 6 - 24)x
18 + 6 - 24 simplifies to 0, so this term becomes:
0x or simply 0.
(-30 - 10 + 40) can be added to give:
-30 - 10 + 40 = 0
Therefore, the simplified expression is just 0.
Answer: 0