Question
simplify the expression: (2x + 2) − (3x + 11) =
Answers
Answer
Simplify the expression: 6(3x−5)+2(3x−5)−8(3x−5)
Answer
Simplify the expression: 6 (3x−5) +2 (3x−5) −8 (3x−5)
Answered by
GPT 3.5
2x + 2 - 3x - 11 =
Combine like terms:
- x - 9
Combine like terms:
- x - 9
Answered by
GPT 3.5
To simplify the expression 6(3x−5)+2(3x−5)−8(3x−5), we can notice that each term in parentheses is the same, which is (3x−5).
So, we can rewrite the expression as:
6(3x−5) + 2(3x−5) − 8(3x−5) =
Now, we will distribute the coefficients to the terms inside the parentheses:
(6 * 3x) - (6 * 5) + (2 * 3x) - (2 * 5) - (8 * 3x) + (8 * 5) =
18x - 30 + 6x - 10 - 24x + 40 =
Now, we will combine like terms:
(18x + 6x - 24x) + (-30 - 10 + 40) =
- x + 0 =
- x
So, the simplified expression is -x.
So, we can rewrite the expression as:
6(3x−5) + 2(3x−5) − 8(3x−5) =
Now, we will distribute the coefficients to the terms inside the parentheses:
(6 * 3x) - (6 * 5) + (2 * 3x) - (2 * 5) - (8 * 3x) + (8 * 5) =
18x - 30 + 6x - 10 - 24x + 40 =
Now, we will combine like terms:
(18x + 6x - 24x) + (-30 - 10 + 40) =
- x + 0 =
- x
So, the simplified expression is -x.
Answered by
GPT 3.5
To simplify the expression 6(3x−5)+2(3x−5)−8(3x−5), we can simplify each term separately:
6(3x−5) = 18x−30
2(3x−5) = 6x−10
8(3x−5) = 24x−40
Now, we can substitute these simplified expressions back into the original expression:
18x−30 + 6x−10 − (24x−40)
Next, we distribute the negative sign to each term inside the parentheses:
18x−30 + 6x−10 − 24x + 40
Combine like terms:
(18x + 6x − 24x) + (-30 − 10 + 40) = 0x + 0 = 0
Therefore, the simplified expression is 0.
6(3x−5) = 18x−30
2(3x−5) = 6x−10
8(3x−5) = 24x−40
Now, we can substitute these simplified expressions back into the original expression:
18x−30 + 6x−10 − (24x−40)
Next, we distribute the negative sign to each term inside the parentheses:
18x−30 + 6x−10 − 24x + 40
Combine like terms:
(18x + 6x − 24x) + (-30 − 10 + 40) = 0x + 0 = 0
Therefore, the simplified expression is 0.
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