Question

3(x – 4) = 5(x + 2)

(1 point)
Responses

x = 11
x = 11

x = –11
x = –11

x = 1
x = 1

x = –1

Answer 1

[AI-generated answer — Bot GPT 3.5]

x = 1

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation 3(x - 4) = 5(x + 2), we can distribute the 3 and 5 to the terms inside the parentheses:

3(x - 4) = 5(x + 2)
3x - 12 = 5x + 10

Next, we can combine like terms by subtracting 3x from both sides and adding 12 to both sides:

3x - 12 - 3x = 5x + 10 - 3x
-12 = 2x + 10

Then, we can isolate the variable by subtracting 10 from both sides:

-12 - 10 = 2x + 10 - 10
-22 = 2x

Finally, we can solve for x by dividing both sides by 2:

-22/2 = 2x/2
-11 = x

Therefore, the value of x is -11.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 3(x - 4) = 5(x + 2), we need to simplify both sides of the equation and solve for the variable x.

First, distribute the 3 and 5 on their respective parentheses:

3(x - 4) = 5(x + 2)
3x - 12 = 5x + 10

Next, combine like terms by subtracting 3x from both sides of the equation:

-12 = 2x + 10

Then, isolate the variable term by subtracting 10 from both sides of the equation:

-22 = 2x

Finally, solve for x by dividing both sides of the equation by 2:

-11 = x

So, the solution to the equation 3(x - 4) = 5(x + 2) is x = -11.