Sure! Let’s solve each of the 14 equations step by step. The goal is to
isolate the variable `x` on one side of the equation using inverse operations (addition, subtraction, multiplication, division).
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Equation 1: 21 + x = 26
Subtract 21 from both sides:
> x = 26 - 21
>
x = 5
---
Equation 2: 12 + 2x = 16
Subtract 12 from both sides:
> 2x = 16 - 12
> 2x = 4
Divide both sides by 2:
> x = 4 ÷ 2
>
x = 2
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Equation 3: 4x - 2 = 10
Add 2 to both sides:
> 4x = 10 + 2
> 4x = 12
Divide both sides by 4:
> x = 12 ÷ 4
>
x = 3
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Equation 4: x + 7 = 12
Subtract 7 from both sides:
> x = 12 - 7
>
x = 5
---
Equation 5: x + 15 = 28
Subtract 15 from both sides:
> x = 28 - 15
>
x = 13
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Equation 6: 5x - 8 = 12
Add 8 to both sides:
> 5x = 12 + 8
> 5x = 20
Divide both sides by 5:
> x = 20 ÷ 5
>
x = 4
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Equation 7: x - 13 = 24
Add 13 to both sides:
> x = 24 + 13
>
x = 37
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Equation 8: x + 14 = -32
Subtract 14 from both sides:
> x = -32 - 14
>
x = -46
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Equation 9: 4x - 2 = 14
Add 2 to both sides:
> 4x = 14 + 2
> 4x = 16
Divide both sides by 4:
> x = 16 ÷ 4
>
x = 4
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Equation 10: 7x - 4 = 10
Add 4 to both sides:
> 7x = 10 + 4
> 7x = 14
Divide both sides by 7:
> x = 14 ÷ 7
>
x = 2
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Equation 11: x + 19 = 21
Subtract 19 from both sides:
> x = 21 - 19
>
x = 2
---
Equation 12: x + 24 = 36
Subtract 24 from both sides:
> x = 36 - 24
>
x = 12
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Equation 13: 9x - 18 = 9
Add 18 to both sides:
> 9x = 9 + 18
> 9x = 27
Divide both sides by 9:
> x = 27 ÷ 9
>
x = 3
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Equation 14: 6x - 12 = 12
Add 12 to both sides:
> 6x = 12 + 12
> 6x = 24
Divide both sides by 6:
> x = 24 ÷ 6
>
x = 4
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✔ Final Answers:
1.
x = 5
2.
x = 2
3.
x = 3
4.
x = 5
5.
x = 13
6.
x = 4
7.
x = 37
8.
x = -46
9.
x = 4
10.
x = 2
11.
x = 2
12.
x = 12
13.
x = 3
14.
x = 4
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Let me know if you’d like to see these explained with diagrams or want to check your own answers! 😊
Parent Tip: Review the logic above to help your child master the concept of algebra math worksheets.
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