Let’s solve each equation step by step to find the correct value of x for each one. Then we’ll match it to the answer on the right.
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1. 86 + (-3x) = 62
That’s the same as:
86 - 3x = 62
Subtract 86 from both sides:
-3x = 62 - 86 → -3x = -24
Divide both sides by -3:
x = (-24)/(-3) =
8
→ Match with
8
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2. 71 + 3x = 86
Subtract 71 from both sides:
3x = 86 - 71 → 3x = 15
Divide by 3:
x = 15/3 =
5
→ Match with
5
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3. 120 + (-11x) = 76
Same as:
120 - 11x = 76
Subtract 120:
-11x = 76 - 120 → -11x = -44
Divide by -11:
x = (-44)/(-11) =
4
→ Match with
4
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4. 89 + (-9x) = 71
Same as:
89 - 9x = 71
Subtract 89:
-9x = 71 - 89 → -9x = -18
Divide by -9:
x = (-18)/(-9) =
2
→ Match with
2
---
5. 44 - 2x = 30
Subtract 44:
-2x = 30 - 44 → -2x = -14
Divide by -2:
x = (-14)/(-2) =
7
→ Match with
7
---
6. 32 + 4x = 16
Subtract 32:
4x = 16 - 32 → 4x = -16
Divide by 4:
x = -16/4 =
-4
→ Match with
-4
---
7. 15 - 3x = 45
Subtract 15:
-3x = 45 - 15 → -3x = 30
Divide by -3:
x = 30 / (-3) =
-10
→ Match with
-10
---
8. 100 + 4x = 80
Subtract 100:
4x = 80 - 100 → 4x = -20
Divide by 4:
x = -20/4 =
-5
→ Match with
-5
---
9. 40 + 2x = 36
Subtract 40:
2x = 36 - 40 → 2x = -4
Divide by 2:
x = -4/2 =
-2
→ Match with
-2
---
10. 48 + 2x = 32
Subtract 48:
2x = 32 - 48 → 2x = -16
Divide by 2:
x = -16/2 =
-8
→ Match with
-8
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Now let’s list all matches:
1 → 8
2 → 5
3 → 4
4 → 2
5 → 7
6 → -4
7 → -10
8 → -5
9 → -2
10 → -8
Final Answer:
1. 8
2. 5
3. 4
4. 2
5. 7
6. -4
7. -10
8. -5
9. -2
10. -8
Parent Tip: Review the logic above to help your child master the concept of easy 2 step equations worksheet.
