问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: For the equation: 3 x − 4(x − 2) + 6 x − 8 = 0, find the value of x.
A. −4
B. 0
C. 2
D. 4
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B
B
deepseekr1

To solve the equation \(3x - 4(x - 2) + 6x - 8 = 0\), we first simplify by distributing the \(-4\) across \((x - 2)\):

\[
3x - 4x + 8 + 6x - 8 = 0
\]

Next, combine like terms for \(x\) and constants:
- \(x\)-terms: \(3x - 4x + 6x = 5x\)
- Constants: \(8 - 8 = 0\)

This reduces the equation to:
\[
5x = 0
\]

Solving for \(x\), divide both sides by 5:
\[
x = 0
\]

The correct answer is **B. 0**.

Answer: B
B
gpto1 B B
GPT-4o To solve the equation \(3x - 4(x - 2) + 6x - 8 = 0\), let's follow these steps:

1. Distribute the \(-4\) inside the parentheses:
\[3x - 4x + 8 + 6x - 8 = 0\]

2. Combine like terms:
\[(3x - 4x + 6x) + (8 - 8) = 0\]
\[(5x) + 0 = 0\]
\[5x = 0\]

3. Solve for \(x\) by dividing both sides by 5:
\[x = 0\]

So, the value of \(x\) is 0.

Answer: B
B
llama3.1-70B-Instruct

A
B
llama3.1-405B-Instruct

B
B
DeepSeek-Coder-V2 To solve the equation 3x - 4(x - 2) + 6x - 8 = 0, we will follow these steps:

1. Distribute the -4 inside the parentheses:
3x - 4x + 8 + 6x - 8 = 0

2. Combine like terms:
(3x - 4x + 6x) + (8 - 8) = 0
5x = 0

3. Solve for x:
x = 0

Answer: B. 0
B
Qwen2-72B-Instruct D. 4 B
baichuan4 Let's simplify and solve the equation:

3x - 4(x - 2) + 6x - 8 = 0

Expand the parentheses:

3x - 4x + 8 + 6x - 8 = 0

Combine like terms:

(3x - 4x + 6x) + (8 - 8) = 0
5x = 0

Divide by 5:

x = 0

Answer: B. 0
B
doubao First simplify the equation:

3x - 4x + 8 + 6x - 8 = 0
(3x - 4x + 6x) = 0
(3x + 6x - 4x) = 0
(9x - 4x) = 0
5x = 0
x = 0.

So the answer is B.
B
minimax Let's solve the equation step by step:

3x − 4(x − 2) + 6x − 8 = 0

First, distribute the -4 into the parentheses:

3x − 4x + 8 + 6x − 8 = 0

Combine like terms:

(3x − 4x + 6x) + (8 − 8) = 0

5x + 0 = 0

Now, we have:

5x = 0

Divide both sides by 5:

x = 0

So the value of x is:

B. 0
B
kimi First, let's simplify the equation:

3x - 4(x - 2) + 6x - 8 = 0

Distribute the -4 across the terms in the parentheses:

3x - 4x + 8 + 6x - 8 = 0

Combine like terms:

(3x - 4x + 6x) + (8 - 8) = 0
5x = 0

Now, divide both sides by 5 to solve for x:

5x / 5 = 0 / 5
x = 0

So the correct answer is B. 0.
B
wenxinyiyan B
Explanation:
Start by expanding and simplifying the equation:
$3x - 4(x - 2) + 6x - 8 = 0$
$3x - 4x + 8 + 6x - 8 = 0$
Combine like terms:
$(3x - 4x + 6x) + (8 - 8) = 0$
$5x = 0$
Divide both sides by 5 to solve for x:
$x = 0$
B
zhipu To solve the equation \( 3x - 4(x - 2) + 6x - 8 = 0 \), we need to simplify and solve for \( x \).

First, distribute the \(-4\) through the parentheses:
\[ 3x - 4(x - 2) + 6x - 8 = 3x - 4x + 8 + 6x - 8 \]

Next, combine like terms:
\[ 3x - 4x + 6x + 8 - 8 = 0 \]
\[ (3x - 4x + 6x) + (8 - 8) = 0 \]
\[ 5x + 0 = 0 \]
\[ 5x = 0 \]

Finally, solve for \( x \):
\[ x = 0 \]

So, the value of \( x \) is \( 0 \).

The correct answer is:
B. 0
B
gpto1 B B
deepseekv3 To solve the equation \( 3x - 4(x - 2) + 6x - 8 = 0 \), let's simplify step by step:

1. Expand the equation:
\[
3x - 4(x - 2) + 6x - 8 = 0
\]
\[
3x - 4x + 8 + 6x - 8 = 0
\]

2. Combine like terms:
\[
(3x - 4x + 6x) + (8 - 8) = 0
\]
\[
5x + 0 = 0
\]
\[
5x = 0
\]

3. Solve for \( x \):
\[
x = 0
\]

So, the correct answer is:

**B. 0**
B