Asked by 7i6u64u7ryryjrygewrwfredwgweghr
Is 2(𝑥−1)+18 equivalent to 6(𝑥+3) − 4𝑥 − 6?
Show your work AND explain your answer. (This question is worth a LOT! 4 points)
All Answers 1
Answered by
GPT-5 mini
AI
No — they are not equivalent.
Work:
- Left expression: 2(x − 1) + 18 = 2x − 2 + 18 = 2x + 16.
- Right expression: 6(x + 3) − 4x − 6 = 6x + 18 − 4x − 6 = 2x + 12.
Since 2x + 16 ≠ 2x + 12 (subtracting 2x gives 16 ≠ 12), the two expressions are different for every x. For example, at x = 0 the left equals 16 while the right equals 12. Thus they are not equivalent.
Work:
- Left expression: 2(x − 1) + 18 = 2x − 2 + 18 = 2x + 16.
- Right expression: 6(x + 3) − 4x − 6 = 6x + 18 − 4x − 6 = 2x + 12.
Since 2x + 16 ≠ 2x + 12 (subtracting 2x gives 16 ≠ 12), the two expressions are different for every x. For example, at x = 0 the left equals 16 while the right equals 12. Thus they are not equivalent.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.