Question

Solve the equation: 6(x-2) -2x = 4x

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we will simplify and combine like terms.

First, distribute the 6 to the terms inside the parentheses:
6(x-2) -2x = 4x
6x - 12 - 2x = 4x

Next, combine like terms on the left side of the equation:
(6x - 2x) - 12 = 4x
4x - 12 = 4x

Now, move all terms involving x to one side of the equation:
4x - 4x = 12
0 = 12

Since 0 is not equal to 12, there is no solution to this equation.

Answer 2

Solve for x: 2x + 4 + 3x = 39

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Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve for x, we will combine like terms and isolate x on one side of the equation.

First, combine the x terms on the left side of the equation:
2x + 4 + 3x = 39
5x + 4 = 39

Next, isolate x by subtracting 4 from both sides of the equation:
5x + 4 - 4 = 39 - 4
5x = 35

Now, solve for x by dividing both sides of the equation by 5:
5x/5 = 35/5
x = 7

Therefore, the solution to the equation is x = 7.

Answer 4

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

Let's solve the equation step-by-step:

Step 1: Distribute the 6 to the terms inside the parentheses:
6(x - 2) - 2x = 4x
6x - 12 - 2x = 4x

Step 2: Combine like terms on each side of the equation:
(6x - 2x) - 12 = 4x
4x - 12 = 4x

Step 3: Simplify the equation by subtracting 4x from both sides:
4x - 4x - 12 = 4x - 4x
-12 = 0

Step 4: As there is no variable term left, the equation becomes:
-12 = 0

Step 5: This equation is not true, as -12 is not equal to 0.

Conclusion: The equation 6(x-2) - 2x = 4x has no solution.