问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: Simplify $(5x+3) - 2(2x-4)$.
A. 10+x
B. x+11
C. 5x+3
D. 7+2x
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B
B
deepseekr1

To simplify the expression \((5x + 3) - 2(2x - 4)\), start by distributing the \(-2\) across the terms in the second parentheses:
\[
-2 \times 2x = -4x \quad \text{and} \quad -2 \times (-4) = +8.
\]
This transforms the expression into:
\[
(5x + 3) - 4x + 8.
\]
Next, combine like terms:
- For the \(x\)-terms: \(5x - 4x = x\),
- For the constants: \(3 + 8 = 11\).

Thus, the simplified expression is \(x + 11\).

**Answer:** B. x+11
B
gpto1 B B
GPT-4o To simplify the expression \((5x+3) - 2(2x-4)\), we need to follow these steps:

1. Distribute the \(-2\) through the parentheses:
\[
-2(2x-4) = -2 \cdot 2x + (-2) \cdot (-4) = -4x + 8
\]

2. Substitute back into the original expression:
\[
(5x + 3) - 4x + 8
\]

3. Combine like terms:
\[
5x - 4x + 3 + 8 = x + 11
\]

Therefore, the simplified expression is \(x + 11\).

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

B
B
llama3.1-405B-Instruct

B
B
DeepSeek-Coder-V2 B. x+11 B
Qwen2-72B-Instruct B. x+11 B
baichuan4 B B
doubao B. x+11

Expanding the expression gives: $5x+3-4x+8=x+11$.
B
minimax To simplify the expression $(5x+3) - 2(2x-4)$, we distribute the -2 across the terms in the second set of parentheses and then combine like terms:

$(5x+3) - 2(2x-4)$
$= 5x + 3 - 4x + 8$ (distribute the -2 to both terms inside the parentheses)
$= (5x - 4x) + (3 + 8)$ (rearrange to combine like terms)
$= x + 11$

So the simplified form of the expression is $x + 11$.

The correct answer is B. x+11.
B
kimi To simplify the expression \((5x+3) - 2(2x-4)\), you first distribute the \(-2\) across the terms inside the parentheses:

\[
(5x+3) - 2(2x-4) = 5x + 3 - 4x + 8
\]

Next, combine like terms:

\[
5x - 4x + 3 + 8 = x + 11
\]

So the correct answer is:

B. x+11
B
wenxinyiyan 首先,我们去掉括号,并注意括号前的负号会改变括号内每一项的符号:
$(5x+3) - 2(2x-4) = 5x + 3 - 4x + 8$
接着,我们合并同类项:
$5x - 4x = x$
$3 + 8 = 11$
所以,
$(5x+3) - 2(2x-4) = x + 11$
故答案为:B. $x+11$
B
zhipu To simplify the expression \((5x + 3) - 2(2x - 4)\), follow these steps:

1. Distribute the \(-2\) through the parentheses:
\[
(5x + 3) - 2(2x - 4) = 5x + 3 - 2 \cdot 2x + 2 \cdot 4
\]

2. Simplify the multiplication:
\[
5x + 3 - 4x + 8
\]

3. Combine like terms:
\[
(5x - 4x) + (3 + 8) = x + 11
\]

So, the simplified expression is \(x + 11\).

The correct answer is:
B. x+11
B
gpto1 B B
deepseekv3 To simplify the expression \((5x + 3) - 2(2x - 4)\), follow these steps:

1. **Distribute the \(-2\) into the parentheses:**
\[
(5x + 3) - 2(2x - 4) = 5x + 3 - 4x + 8
\]

2. **Combine like terms:**
\[
5x - 4x + 3 + 8 = x + 11
\]

So, the simplified expression is \(x + 11\).

**Answer:** \(\boxed{B}\)
B