simplify the expresion 6(3x−5)+2(3x−5)−8(2x−5)

First, distribute the coefficients to each term in the parentheses:

6(3x − 5) = 18x − 30
2(3x − 5) = 6x − 10
8(2x − 5) = 16x − 40

Now, combine like terms:

(18x − 30) + (6x − 10) − (16x − 40)

Combine like terms with the same variable:

18x + 6x − 16x − 30 − 10 + 40

Combine like terms without variables:

(18x + 6x − 16x) + (40 − 10 − 30)

Combine like terms:

8x + 0 + 0

Simplify further:

8x