Algebra worksheet with equations to solve, including a cute turtle illustration.

Let's solve each equation step by step. The goal is to isolate the variable \( x \) on one side of the equation.

---

Equation 1: \( 21 + x = 26 \)

1. Subtract 21 from both sides:
\[
21 + x - 21 = 26 - 21
\]
\[
x = 5
\]

Solution: \( x = 5 \)

---

Equation 2: \( 12 + 2x = 16 \)

1. Subtract 12 from both sides:
\[
12 + 2x - 12 = 16 - 12
\]
\[
2x = 4
\]
2. Divide both sides by 2:
\[
\frac{2x}{2} = \frac{4}{2}
\]
\[
x = 2
\]

Solution: \( x = 2 \)

---

Equation 3: \( 4x - 2 = 10 \)

1. Add 2 to both sides:
\[
4x - 2 + 2 = 10 + 2
\]
\[
4x = 12
\]
2. Divide both sides by 4:
\[
\frac{4x}{4} = \frac{12}{4}
\]
\[
x = 3
\]

Solution: \( x = 3 \)

---

Equation 4: \( x + 7 = 12 \)

1. Subtract 7 from both sides:
\[
x + 7 - 7 = 12 - 7
\]
\[
x = 5
\]

Solution: \( x = 5 \)

---

Equation 5: \( x + 15 = 28 \)

1. Subtract 15 from both sides:
\[
x + 15 - 15 = 28 - 15
\]
\[
x = 13
\]

Solution: \( x = 13 \)

---

Equation 6: \( 6x - 12 = 12 \)

1. Add 12 to both sides:
\[
6x - 12 + 12 = 12 + 12
\]
\[
6x = 24
\]
2. Divide both sides by 6:
\[
\frac{6x}{6} = \frac{24}{6}
\]
\[
x = 4
\]

Solution: \( x = 4 \)

---

Equation 7: \( 9x - 18 = 9 \)

1. Add 18 to both sides:
\[
9x - 18 + 18 = 9 + 18
\]
\[
9x = 27
\]
2. Divide both sides by 9:
\[
\frac{9x}{9} = \frac{27}{9}
\]
\[
x = 3
\]

Solution: \( x = 3 \)

---

Equation 8: \( x + 24 = 36 \)

1. Subtract 24 from both sides:
\[
x + 24 - 24 = 36 - 24
\]
\[
x = 12
\]

Solution: \( x = 12 \)

---

Equation 9: \( 7x - 4 = 10 \)

1. Add 4 to both sides:
\[
7x - 4 + 4 = 10 + 4
\]
\[
7x = 14
\]
2. Divide both sides by 7:
\[
\frac{7x}{7} = \frac{14}{7}
\]
\[
x = 2
\]

Solution: \( x = 2 \)

---

Equation 10: \( x + 14 = -32 \)

1. Subtract 14 from both sides:
\[
x + 14 - 14 = -32 - 14
\]
\[
x = -46
\]

Solution: \( x = -46 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ x = 5 \\
2. & \ x = 2 \\
3. & \ x = 3 \\
4. & \ x = 5 \\
5. & \ x = 13 \\
6. & \ x = 4 \\
7. & \ x = 3 \\
8. & \ x = 12 \\
9. & \ x = 2 \\
10. & \ x = -46
\end{aligned}
}
\]