simplify the expression
6(3x-5)+2(3x-5)-8(2x-5)
To simplify the expression 6(3x-5)+2(3x-5)-8(2x-5), we can distribute the numbers:
First, distribute the 6 to the terms inside the parentheses:
6 * 3x = 18x
6 * -5 = -30
This gives us: 18x - 30
Next, distribute the 2 to the terms inside the parentheses:
2 * 3x = 6x
2 * -5 = -10
This gives us: 6x - 10
Finally, distribute the -8 to the terms inside the parentheses:
-8 * 2x = -16x
-8 * -5 = 40
This gives us: -16x + 40
Now we can combine like terms:
18x - 30 + 6x - 10 - 16x + 40
Combine the x terms: 18x + 6x - 16x = 8x
Combine the constant terms: -30 - 10 + 40 = 0
So, the simplified expression is 8x + 0, which can be further simplified to just 8x.