Solve for x in these 20 algebraic equations.

To solve for \( x \) in each of the given equations, we will isolate \( x \) on one side of the equation using algebraic manipulation. Let's go through each equation step by step.

---

Equations 1 to 10:

#### 1. \( 2x + 4 = 14 \)
1. Subtract 4 from both sides:
\[
2x = 10
\]
2. Divide by 2:
\[
x = 5
\]

#### 2. \( 4x + 7 = 19 \)
1. Subtract 7 from both sides:
\[
4x = 12
\]
2. Divide by 4:
\[
x = 3
\]

#### 3. \( 6x + 5 = 23 \)
1. Subtract 5 from both sides:
\[
6x = 18
\]
2. Divide by 6:
\[
x = 3
\]

#### 4. \( 2x + 11 = 27 \)
1. Subtract 11 from both sides:
\[
2x = 16
\]
2. Divide by 2:
\[
x = 8
\]

#### 5. \( 5x + 9 = 29 \)
1. Subtract 9 from both sides:
\[
5x = 20
\]
2. Divide by 5:
\[
x = 4
\]

#### 6. \( 7x + 13 = 34 \)
1. Subtract 13 from both sides:
\[
7x = 21
\]
2. Divide by 7:
\[
x = 3
\]

#### 7. \( 4x + 3 = 35 \)
1. Subtract 3 from both sides:
\[
4x = 32
\]
2. Divide by 4:
\[
x = 8
\]

#### 8. \( 6x + 18 = 24 \)
1. Subtract 18 from both sides:
\[
6x = 6
\]
2. Divide by 6:
\[
x = 1
\]

#### 9. \( 9x + 5 = 104 \)
1. Subtract 5 from both sides:
\[
9x = 99
\]
2. Divide by 9:
\[
x = 11
\]

#### 10. \( 6x + 11 = 65 \)
1. Subtract 11 from both sides:
\[
6x = 54
\]
2. Divide by 6:
\[
x = 9
\]

---

Equations 11 to 20:

#### 11. \( 3x - 7 = 20 \)
1. Add 7 to both sides:
\[
3x = 27
\]
2. Divide by 3:
\[
x = 9
\]

#### 12. \( 10x - 10 = 30 \)
1. Add 10 to both sides:
\[
10x = 40
\]
2. Divide by 10:
\[
x = 4
\]

#### 13. \( 6x - 2 = 28 \)
1. Add 2 to both sides:
\[
6x = 30
\]
2. Divide by 6:
\[
x = 5
\]

#### 14. \( 3x - 5 = 13 \)
1. Add 5 to both sides:
\[
3x = 18
\]
2. Divide by 3:
\[
x = 6
\]

#### 15. \( 5x - 8 = 27 \)
1. Add 8 to both sides:
\[
5x = 35
\]
2. Divide by 5:
\[
x = 7
\]

#### 16. \( 4x - 7 = 1 \)
1. Add 7 to both sides:
\[
4x = 8
\]
2. Divide by 4:
\[
x = 2
\]

#### 17. \( 8x - 6 = 18 \)
1. Add 6 to both sides:
\[
8x = 24
\]
2. Divide by 8:
\[
x = 3
\]

#### 18. \( 7x - 11 = 17 \)
1. Add 11 to both sides:
\[
7x = 28
\]
2. Divide by 7:
\[
x = 4
\]

#### 19. \( 9x - 21 = 60 \)
1. Add 21 to both sides:
\[
9x = 81
\]
2. Divide by 9:
\[
x = 9
\]

#### 20. \( 2x - 9 = 15 \)
1. Add 9 to both sides:
\[
2x = 24
\]
2. Divide by 2:
\[
x = 12
\]

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & x = 5 \\
2. & x = 3 \\
3. & x = 3 \\
4. & x = 8 \\
5. & x = 4 \\
6. & x = 3 \\
7. & x = 8 \\
8. & x = 1 \\
9. & x = 11 \\
10. & x = 9 \\
11. & x = 9 \\
12. & x = 4 \\
13. & x = 5 \\
14. & x = 6 \\
15. & x = 7 \\
16. & x = 2 \\
17. & x = 3 \\
18. & x = 4 \\
19. & x = 9 \\
20. & x = 12 \\
\end{array}
}
\]