Let's solve each equation step by step to find the value of $ x $. We'll use algebraic methods to isolate $ x $ on one side of the equation.
---
1) $ 29 + 5x = 44 $
Subtract 29 from both sides:
$$
5x = 44 - 29 = 15
$$
Divide by 5:
$$
x = \frac{15}{5} = 3
$$
✔ Answer: 3
---
2) $ 21 + 3x = 51 $
Subtract 21 from both sides:
$$
3x = 51 - 21 = 30
$$
Divide by 3:
$$
x = \frac{30}{3} = 10
$$
✔ Answer: 10
---
3) $ 13 + 5x = 33 $
Subtract 13:
$$
5x = 33 - 13 = 20
$$
Divide by 5:
$$
x = \frac{20}{5} = 4
$$
✔ Answer: 4
---
4) $ 47 - 3x = 32 $
Subtract 47 from both sides:
$$
-3x = 32 - 47 = -15
$$
Divide by -3:
$$
x = \frac{-15}{-3} = 5
$$
✔ Answer: 5
---
5) $ 157 + (-1)x = 69 $
This is the same as:
$$
157 - x = 69
$$
Subtract 157:
$$
-x = 69 - 157 = -88
$$
Multiply both sides by -1:
$$
x = 88
$$
✔ Answer: 88
---
6) $ 1x + 72 = 82 $
Subtract 72:
$$
x = 82 - 72 = 10
$$
✔ Answer: 10
---
7) $ 74 - 13x = 35 $
Subtract 74:
$$
-13x = 35 - 74 = -39
$$
Divide by -13:
$$
x = \frac{-39}{-13} = 3
$$
✔ Answer: 3
---
8) $ 73 + (-3)x = 55 $
Same as:
$$
73 - 3x = 55
$$
Subtract 73:
$$
-3x = 55 - 73 = -18
$$
Divide by -3:
$$
x = \frac{-18}{-3} = 6
$$
✔ Answer: 6
---
9) $ 34 + 5x = 64 $
Subtract 34:
$$
5x = 64 - 34 = 30
$$
Divide by 5:
$$
x = \frac{30}{5} = 6
$$
✔ Answer: 6
---
10) $ 109 + (-4)x = 73 $
Same as:
$$
109 - 4x = 73
$$
Subtract 109:
$$
-4x = 73 - 109 = -36
$$
Divide by -4:
$$
x = \frac{-36}{-4} = 9
$$
✔ Answer: 9
---
11) $ 75 + 2x = 81 $
Subtract 75:
$$
2x = 81 - 75 = 6
$$
Divide by 2:
$$
x = \frac{6}{2} = 3
$$
✔ Answer: 3
---
12) $ 64 - 5x = 14 $
Subtract 64:
$$
-5x = 14 - 64 = -50
$$
Divide by -5:
$$
x = \frac{-50}{-5} = 10
$$
✔ Answer: 10
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 3 |
| 2 | 10 |
| 3 | 4 |
| 4 | 5 |
| 5 | 88 |
| 6 | 10 |
| 7 | 3 |
| 8 | 6 |
| 9 | 6 |
| 10 | 9 |
| 11 | 3 |
| 12 | 10 |
---
You can now fill in the
Answers column on the worksheet with these values. Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of variable substitution worksheet.
