Question

Is 2(x−1)+18 equivalent to 6(x+3)−4x−6 ? Use algebra to find your answer. Show your work and explain your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if 2(x−1)+18 is equivalent to 6(x+3)−4x−6, we need to simplify both expressions and check if they are equal.

Expanding the expressions:
2(x−1)+18 = 2x - 2 + 18 = 2x + 16
6(x+3)−4x−6 = 6x + 18 - 4x - 6 = 2x + 12

After expanding, we can see that the simplified expressions are 2x + 16 and 2x + 12, respectively.

Since the simplified expressions are not the same, 2(x−1)+18 is not equivalent to 6(x+3)−4x−6.