A number x divided by 7 gives 2 can be written as `(x+1)/7=2`

Answer

To solve the problem step by step, we need to analyze the statement given in the question and clarify the misunderstanding regarding the equation.

### Step-by-Step Solution:

1. **Understand the Statement**: The problem states that a number \( x \) divided by 7 gives 2. This can be mathematically expressed as:
\[ \frac{x}{7} = 2 \]

2. **Convert the Statement into an Equation**: According to the statement, we can rewrite the equation as:
\[ x = 2 \times 7 \]

3. **Calculate the Value of \( x \)**: Now, we can calculate \( x \):
\[ x = 14 \]

4. **Check the Given Equation**: The question also mentions that this can be written as:
\[ \frac{x + 1}{7} = 2 \]
Let's check if this is true by substituting \( x = 14 \) into this equation:
\[ \frac{14 + 1}{7} = \frac{15}{7} \]
This does not equal 2. Therefore, the statement that \( \frac{x + 1}{7} = 2 \) is incorrect.

5. **Conclusion**: The original statement \( \frac{x}{7} = 2 \) is valid, but the statement \( \frac{x + 1}{7} = 2 \) is false.

### Final Answer:
No, the equation \( \frac{x + 1}{7} = 2 \) cannot be written based on the statement that a number \( x \) divided by 7 gives 2.