Question Simplify the expression. 6(3x−5)+2(3x−5)−8(2x−5) (1 point) Responses 8x 8 x 24x−40 24 x minus 40 36x−60 36 x minus 60 48x−80
To simplify the expression 6(3x−5)+2(3x−5)−8(2x−5), we can distribute the coefficients to each term within the parentheses.
For the first term, 6(3x−5), we have:
6 × 3x = 18x
6 × -5 = -30
So the first term simplifies to 18x - 30.
For the second term, 2(3x−5), we have:
2 × 3x = 6x
2 × -5 = -10
So the second term simplifies to 6x - 10.
For the third term, -8(2x−5), we have:
-8 × 2x = -16x
-8 × -5 = 40
So the third term simplifies to -16x + 40.
Now, putting it all together, we have:
(18x - 30) + (6x - 10) - (-16x + 40)
Simplifying further, we can combine like terms:
18x + 6x - 16x - 30 - 10 + 40
Which gives us:
8x - 30 + 40
Finally, combining like terms:
8x + 10
So, the simplified expression is 8x + 10.