Algebraic equations and their corresponding solutions in a table format.

Let's solve each equation in the table and verify whether the given value of $ x $ is correct. We'll go through each one step by step.

---

A: $ 3(x + 4) = 4x + 7 $, given $ x = 10 $

Step 1: Expand the left side:
$$
3(x + 4) = 3x + 12
$$

So the equation becomes:
$$
3x + 12 = 4x + 7
$$

Step 2: Subtract $ 3x $ from both sides:
$$
12 = x + 7
$$

Step 3: Subtract 7 from both sides:
$$
x = 5
$$

But the given solution is $ x = 10 $. ✘ Incorrect

✔ Correct answer: $ x = 5 $

---

B: $ 2x + 5 = 3(x - 1) $, given $ x = 1.5 $

Step 1: Expand the right side:
$$
3(x - 1) = 3x - 3
$$

Equation:
$$
2x + 5 = 3x - 3
$$

Step 2: Subtract $ 2x $ from both sides:
$$
5 = x - 3
$$

Step 3: Add 3 to both sides:
$$
x = 8
$$

But the given solution is $ x = 1.5 $. ✘ Incorrect

✔ Correct answer: $ x = 8 $

---

C: $ 2(3x + 10) = 8x $, given $ x = 3 $

Step 1: Expand the left side:
$$
2(3x + 10) = 6x + 20
$$

Equation:
$$
6x + 20 = 8x
$$

Step 2: Subtract $ 6x $ from both sides:
$$
20 = 2x
$$

Step 3: Divide by 2:
$$
x = 10
$$

But the given solution is $ x = 3 $. ✘ Incorrect

✔ Correct answer: $ x = 10 $

---

D: $ 2(4x - 5) = 3x + 10 $, given $ x = 2 $

Step 1: Expand the left side:
$$
2(4x - 5) = 8x - 10
$$

Equation:
$$
8x - 10 = 3x + 10
$$

Step 2: Subtract $ 3x $ from both sides:
$$
5x - 10 = 10
$$

Step 3: Add 10 to both sides:
$$
5x = 20
$$

Step 4: Divide by 5:
$$
x = 4
$$

But the given solution is $ x = 2 $. ✘ Incorrect

✔ Correct answer: $ x = 4 $

---

E: $ 2(x + 3) = 3(x + 1) $, given $ x = 2.5 $

Step 1: Expand both sides:
- Left: $ 2(x + 3) = 2x + 6 $
- Right: $ 3(x + 1) = 3x + 3 $

Equation:
$$
2x + 6 = 3x + 3
$$

Step 2: Subtract $ 2x $ from both sides:
$$
6 = x + 3
$$

Step 3: Subtract 3:
$$
x = 3
$$

But the given solution is $ x = 2.5 $. ✘ Incorrect

✔ Correct answer: $ x = 3 $

---

F: $ 2(3x + 1) = 3(x - 2) + 29 $, given $ x = 5 $

Step 1: Expand both sides:

Left: $ 2(3x + 1) = 6x + 2 $

Right: $ 3(x - 2) + 29 = 3x - 6 + 29 = 3x + 23 $

Equation:
$$
6x + 2 = 3x + 23
$$

Step 2: Subtract $ 3x $:
$$
3x + 2 = 23
$$

Step 3: Subtract 2:
$$
3x = 21
$$

Step 4: Divide by 3:
$$
x = 7
$$

But the given solution is $ x = 5 $. ✘ Incorrect

✔ Correct answer: $ x = 7 $

---

✔ Final Summary:

| Letter | Equation | Given $ x $ | Correct $ x $? | Correct Answer |
|--------|---------|----------------|------------------|----------------|
| A | $ 3(x+4)=4x+7 $ | 10 | ✘ | 5 |
| B | $ 2x+5=3(x-1) $ | 1.5 | ✘ | 8 |
| C | $ 2(3x+10)=8x $ | 3 | ✘ | 10 |
| D | $ 2(4x-5)=3x+10 $ | 2 | ✘ | 4 |
| E | $ 2(x+3)=3(x+1) $ | 2.5 | ✘ | 3 |
| F | $ 2(3x+1)=3(x-2)+29 $ | 5 | ✘ | 7 |

🟩 Conclusion:

None of the given solutions are correct. All six provided values for $ x $ are incorrect based on solving the equations.

If this was a matching exercise (e.g., "Which equation has solution $ x = 5 $?"), then none of them do — but if the task was to verify the given answers, then all are wrong.

Let me know if you want to find which equation matches a specific $ x $, or if there’s another goal!