Let’s solve each equation one by one. Remember, we’re solving for
x — that means we want to get x alone on one side of the equal sign.
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1) 3x = 9
To get x alone, divide both sides by 3:
→ x = 9 ÷ 3
→ x = 3
✔ Check: 3 × 3 = 9 → Correct!
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2) x/8 = -7
Multiply both sides by 8 to cancel the denominator:
→ x = -7 × 8
→ x = -56
✔ Check: -56 ÷ 8 = -7 → Correct!
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3) -5x = 25
Divide both sides by -5:
→ x = 25 ÷ (-5)
→ x = -5
✔ Check: -5 × (-5) = 25 → Correct!
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4) x/4 = -10
Multiply both sides by 4:
→ x = -10 × 4
→ x = -40
✔ Check: -40 ÷ 4 = -10 → Correct!
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5) x / (-9) = -2
Multiply both sides by -9:
→ x = -2 × (-9)
→ x = 18
✔ Check: 18 ÷ (-9) = -2 → Correct!
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6) -12x = -72
Divide both sides by -12:
→ x = -72 ÷ (-12)
→ x = 6
✔ Check: -12 × 6 = -72 → Correct!
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7) -x/7 = -2
First, multiply both sides by 7 to remove the denominator:
→ -x = -2 × 7
→ -x = -14
Now, multiply both sides by -1 to make x positive:
→ x = 14
✔ Check: -14 ÷ 7 = -2 → Correct!
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8) x/3 = 20
Multiply both sides by 3:
→ x = 20 × 3
→ x = 60
✔ Check: 60 ÷ 3 = 20 → Correct!
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9) 11x = 44
Divide both sides by 11:
→ x = 44 ÷ 11
→ x = 4
✔ Check: 11 × 4 = 44 → Correct!
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10) 4x = 64
Divide both sides by 4:
→ x = 64 ÷ 4
→ x = 16
✔ Check: 4 × 16 = 64 → Correct!
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11) 10x = 90
Divide both sides by 10:
→ x = 90 ÷ 10
→ x = 9
✔ Check: 10 × 9 = 90 → Correct!
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12) x/6 = -8
Multiply both sides by 6:
→ x = -8 × 6
→ x = -48
✔ Check: -48 ÷ 6 = -8 → Correct!
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Final Answer:
1) x = 3
2) x = -56
3) x = -5
4) x = -40
5) x = 18
6) x = 6
7) x = 14
8) x = 60
9) x = 4
10) x = 16
11) x = 9
12) x = -48
Parent Tip: Review the logic above to help your child master the concept of division equations worksheet.
