Addition and Subtraction Equation with Variables worksheet for solving for x, featuring 18 equations.

Problem: Solve for \( x \) in each equation.

We will solve each equation step by step using basic algebraic principles. The goal is to isolate \( x \) on one side of the equation.

---

#### Equation 1: \( x + 27 = 48 \)

1. Subtract 27 from both sides:
\[
x + 27 - 27 = 48 - 27
\]
2. Simplify:
\[
x = 21
\]

Solution: \( x = 21 \)

---

#### Equation 2: \( x + 10 = 17 \)

1. Subtract 10 from both sides:
\[
x + 10 - 10 = 17 - 10
\]
2. Simplify:
\[
x = 7
\]

Solution: \( x = 7 \)

---

#### Equation 3: \( x - 73 = 17 \)

1. Add 73 to both sides:
\[
x - 73 + 73 = 17 + 73
\]
2. Simplify:
\[
x = 90
\]

Solution: \( x = 90 \)

---

#### Equation 4: \( x - 73 = 144 \)

1. Add 73 to both sides:
\[
x - 73 + 73 = 144 + 73
\]
2. Simplify:
\[
x = 217
\]

Solution: \( x = 217 \)

---

#### Equation 5: \( 10 - x = 77 \)

1. Subtract 10 from both sides:
\[
10 - x - 10 = 77 - 10
\]
2. Simplify:
\[
-x = 67
\]
3. Multiply both sides by -1 to solve for \( x \):
\[
x = -67
\]

Solution: \( x = -67 \)

---

#### Equation 6: \( x + 1 = 9 \)

1. Subtract 1 from both sides:
\[
x + 1 - 1 = 9 - 1
\]
2. Simplify:
\[
x = 8
\]

Solution: \( x = 8 \)

---

#### Equation 7: \( 5 - x = 12 \)

1. Subtract 5 from both sides:
\[
5 - x - 5 = 12 - 5
\]
2. Simplify:
\[
-x = 7
\]
3. Multiply both sides by -1 to solve for \( x \):
\[
x = -7
\]

Solution: \( x = -7 \)

---

#### Equation 8: \( 2 = x + 12 \)

1. Rewrite the equation as:
\[
x + 12 = 2
\]
2. Subtract 12 from both sides:
\[
x + 12 - 12 = 2 - 12
\]
3. Simplify:
\[
x = -10
\]

Solution: \( x = -10 \)

---

#### Equation 9: \( x - 8 = 19 \)

1. Add 8 to both sides:
\[
x - 8 + 8 = 19 + 8
\]
2. Simplify:
\[
x = 27
\]

Solution: \( x = 27 \)

---

#### Equation 10: \( x - 22 = 30 \)

1. Add 22 to both sides:
\[
x - 22 + 22 = 30 + 22
\]
2. Simplify:
\[
x = 52
\]

Solution: \( x = 52 \)

---

#### Equation 11: \( 13 = x + 4 \)

1. Rewrite the equation as:
\[
x + 4 = 13
\]
2. Subtract 4 from both sides:
\[
x + 4 - 4 = 13 - 4
\]
3. Simplify:
\[
x = 9
\]

Solution: \( x = 9 \)

---

#### Equation 12: \( x - 4 = 5 \)

1. Add 4 to both sides:
\[
x - 4 + 4 = 5 + 4
\]
2. Simplify:
\[
x = 9
\]

Solution: \( x = 9 \)

---

#### Equation 13: \( x - 17 = 22 \)

1. Add 17 to both sides:
\[
x - 17 + 17 = 22 + 17
\]
2. Simplify:
\[
x = 39
\]

Solution: \( x = 39 \)

---

#### Equation 14: \( x + 13 = 27 \)

1. Subtract 13 from both sides:
\[
x + 13 - 13 = 27 - 13
\]
2. Simplify:
\[
x = 14
\]

Solution: \( x = 14 \)

---

#### Equation 15: \( 24 = x + 15 \)

1. Rewrite the equation as:
\[
x + 15 = 24
\]
2. Subtract 15 from both sides:
\[
x + 15 - 15 = 24 - 15
\]
3. Simplify:
\[
x = 9
\]

Solution: \( x = 9 \)

---

#### Equation 16: \( x - 7 = 14 \)

1. Add 7 to both sides:
\[
x - 7 + 7 = 14 + 7
\]
2. Simplify:
\[
x = 21
\]

Solution: \( x = 21 \)

---

#### Equation 17: \( x + 22 = 20 \)

1. Subtract 22 from both sides:
\[
x + 22 - 22 = 20 - 22
\]
2. Simplify:
\[
x = -2
\]

Solution: \( x = -2 \)

---

#### Equation 18: \( 15 = x + 10 \)

1. Rewrite the equation as:
\[
x + 10 = 15
\]
2. Subtract 10 from both sides:
\[
x + 10 - 10 = 15 - 10
\]
3. Simplify:
\[
x = 5
\]

Solution: \( x = 5 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ x = 21 \\
2. & \ x = 7 \\
3. & \ x = 90 \\
4. & \ x = 217 \\
5. & \ x = -67 \\
6. & \ x = 8 \\
7. & \ x = -7 \\
8. & \ x = -10 \\
9. & \ x = 27 \\
10. & \ x = 52 \\
11. & \ x = 9 \\
12. & \ x = 9 \\
13. & \ x = 39 \\
14. & \ x = 14 \\
15. & \ x = 9 \\
16. & \ x = 21 \\
17. & \ x = -2 \\
18. & \ x = 5 \\
\end{aligned}
}
\]