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Algebraic equations - Free worksheets, PowerPoints and other - Free Printable

Algebraic equations - Free worksheets, PowerPoints and other

Educational worksheet: Algebraic equations - Free worksheets, PowerPoints and other. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Algebraic equations - Free worksheets, PowerPoints and other
Let’s solve each equation one by one. We’ll isolate the variable (x) on one side of the equation.

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1. 21 + x = 26
Subtract 21 from both sides:
x = 26 - 21 → x = 5

2. 12 + 2x = 16
Subtract 12 from both sides:
2x = 4
Divide by 2:
x = 2 → x = 2

3. 4x - 2 = 10
Add 2 to both sides:
4x = 12
Divide by 4:
x = 3 → x = 3

4. x + 7 = 12
Subtract 7 from both sides:
x = 5 → x = 5

5. x + 15 = 28
Subtract 15 from both sides:
x = 13 → x = 13

6. 5x - 8 = 12
Add 8 to both sides:
5x = 20
Divide by 5:
x = 4 → x = 4

7. x - 13 = 24
Add 13 to both sides:
x = 37 → x = 37

8. x + 14 = -32
Subtract 14 from both sides:
x = -32 - 14 → x = -46

9. 4x - 2 = 14
Add 2 to both sides:
4x = 16
Divide by 4:
x = 4 → x = 4

10. 7x - 4 = 10
Add 4 to both sides:
7x = 14
Divide by 7:
x = 2 → x = 2

11. x + 19 = 21
Subtract 19 from both sides:
x = 2 → x = 2

12. x + 24 = 36
Subtract 24 from both sides:
x = 12 → x = 12

13. 9x - 18 = 9
Add 18 to both sides:
9x = 27
Divide by 9:
x = 3 → x = 3

14. 6x - 12 = 12
Add 12 to both sides:
6x = 24
Divide by 6:
x = 4 → x = 4

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Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of algebra for beginners worksheets.
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