Let’s solve each equation one by one. We’ll find the value of
x that makes each equation true.
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1) 21 + x = 26
Subtract 21 from both sides:
x = 26 - 21
x = 5
✔ Check: 21 + 5 = 26 → Correct!
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2) 12 + 2x = 16
Subtract 12 from both sides:
2x = 4
Divide both sides by 2:
x = 2
✔ Check: 12 + 2(2) = 12 + 4 = 16 → Correct!
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3) 4x - 2 = 10
Add 2 to both sides:
4x = 12
Divide both sides by 4:
x = 3
✔ Check: 4(3) - 2 = 12 - 2 = 10 → Correct!
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4) x + 7 = 12
Subtract 7 from both sides:
x = 5
✔ Check: 5 + 7 = 12 → Correct!
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5) x + 15 = 28
Subtract 15 from both sides:
x = 13
✔ Check: 13 + 15 = 28 → Correct!
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6) 6x - 12 = 12
Add 12 to both sides:
6x = 24
Divide both sides by 6:
x = 4
✔ Check: 6(4) - 12 = 24 - 12 = 12 → Correct!
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7) 9x - 18 = 9
Add 18 to both sides:
9x = 27
Divide both sides by 9:
x = 3
✔ Check: 9(3) - 18 = 27 - 18 = 9 → Correct!
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8) x + 24 = 36
Subtract 24 from both sides:
x = 12
✔ Check: 12 + 24 = 36 → Correct!
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9) 7x - 4 = 10
Add 4 to both sides:
7x = 14
Divide both sides by 7:
x = 2
✔ Check: 7(2) - 4 = 14 - 4 = 10 → Correct!
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10) x + 14 = 32
Subtract 14 from both sides:
x = 18
✔ Check: 18 + 14 = 32 → Correct!
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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 = 3
8) x = 12
9) x = 2
10) x = 18
Parent Tip: Review the logic above to help your child master the concept of algebra for 6th grade worksheet.
