Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
(1 point)
Responses
35x−60
35 x minus 60
48x−80
48 x minus 80
24x−40
24 x minus 40
0
24x-40
Simplify 4x+6(3x−2)
(1 point)
Responses
22x−2
22 x minus 2
22x−12
22 x minus 12
18x−2
18 x minus 2
10x−12
18x-2
Simplify 13(9x − 5)
(1 point)
Responses
6x−2
6 x minus 2
3x−5
3 x minus 5
3x−53
3 x minus 5 thirds
6x−5
To simplify the expression: 6(3x-5) + 2(3x-5) - 8(3x-5), we can use the distributive property to remove the parentheses.
Let's start by simplifying the terms within each set of parentheses:
Within the first set of parentheses, 3x-5, there are two terms, 3x and -5. The 3x term remains the same, while the -5 term remains the same after distribution.
6(3x-5) becomes 6 * 3x - 6 * 5, which simplifies to 18x - 30.
Within the second set of parentheses, 3x-5, the terms remain the same after distribution.
2(3x-5) remains as 2 * 3x - 2 * 5, which simplifies to 6x - 10.
Within the third set of parentheses, 3x-5, the terms remain the same after distribution.
8(3x-5) remains as 8 * 3x - 8 * 5, which simplifies to 24x - 40.
Now we can combine like terms. We have three terms: 18x - 30, 6x - 10, and 24x - 40.
To combine like terms, we add or subtract the coefficients of the same variable term. In this case, we have the "x" term.
Adding the coefficients: 18x + 6x + 24x = 48x.
Next, we add the constant terms: -30 - 10 - 40 = -80.
Putting it all together, the simplified expression is 48x - 80.