Let's solve each equation step by step, showing all work.
---
1. $\frac{x}{5} - 2 = 9$
Step 1: Add 2 to both sides
$$
\frac{x}{5} = 9 + 2 = 11
$$
Step 2: Multiply both sides by 5
$$
x = 11 \times 5 = 55
$$
✔ Answer: $x = 55$
---
2. $\frac{x}{3} = -20$
Step 1: Multiply both sides by 3
$$
x = -20 \times 3 = -60
$$
✔ Answer: $x = -60$
---
3. $-45 = 4x + 5x$
Step 1: Combine like terms on the right
$$
-45 = 9x
$$
Step 2: Divide both sides by 9
$$
x = \frac{-45}{9} = -5
$$
✔ Answer: $x = -5$
---
4. $-8 - x = 11$
Step 1: Add 8 to both sides
$$
-x = 11 + 8 = 19
$$
Step 2: Multiply both sides by -1
$$
x = -19
$$
✔ Answer: $x = -19$
---
5. $\frac{x - 2}{6} = -4$
Step 1: Multiply both sides by 6
$$
x - 2 = -4 \times 6 = -24
$$
Step 2: Add 2 to both sides
$$
x = -24 + 2 = -22
$$
✔ Answer: $x = -22$
---
6. $5 + \frac{x}{2} = 8$
Step 1: Subtract 5 from both sides
$$
\frac{x}{2} = 8 - 5 = 3
$$
Step 2: Multiply both sides by 2
$$
x = 3 \times 2 = 6
$$
✔ Answer: $x = 6$
---
7. $\frac{x}{7} = 9$
Step 1: Multiply both sides by 7
$$
x = 9 \times 7 = 63
$$
✔ Answer: $x = 63$
---
8. $24 + 4x = 6x$
Step 1: Subtract $4x$ from both sides
$$
24 = 6x - 4x = 2x
$$
Step 2: Divide both sides by 2
$$
x = \frac{24}{2} = 12
$$
✔ Answer: $x = 12$
---
9. $\frac{2}{5}x - 6 = 13$
Step 1: Add 6 to both sides
$$
\frac{2}{5}x = 13 + 6 = 19
$$
Step 2: Multiply both sides by the reciprocal of $\frac{2}{5}$, which is $\frac{5}{2}$
$$
x = 19 \times \frac{5}{2} = \frac{95}{2} = 47.5
$$
✔ Answer: $x = \frac{95}{2}$ or $47.5$
---
10. $x + 15 = 74$
Step 1: Subtract 15 from both sides
$$
x = 74 - 15 = 59
$$
✔ Answer: $x = 59$
---
11. $36 - x = 14$
Step 1: Subtract 36 from both sides
$$
-x = 14 - 36 = -22
$$
Step 2: Multiply both sides by -1
$$
x = 22
$$
✔ Answer: $x = 22$
---
12. $\frac{x + 6}{2} = 12$
Step 1: Multiply both sides by 2
$$
x + 6 = 12 \times 2 = 24
$$
Step 2: Subtract 6 from both sides
$$
x = 24 - 6 = 18
$$
✔ Answer: $x = 18$
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | $x = 55$ |
| 2 | $x = -60$ |
| 3 | $x = -5$ |
| 4 | $x = -19$ |
| 5 | $x = -22$ |
| 6 | $x = 6$ |
| 7 | $x = 63$ |
| 8 | $x = 12$ |
| 9 | $x = \frac{95}{2}$ or $47.5$ |
| 10 | $x = 59$ |
| 11 | $x = 22$ |
| 12 | $x = 18$ |
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Parent Tip: Review the logic above to help your child master the concept of solve 2 step equations worksheet.
