Solve Two-Step Equations (Print & Digital) - Free Printable

Let’s solve each equation step by step to find the value of x that makes it true. Then we’ll match each problem number to its correct answer from the list on the right.

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Problem 1: 86 + (-3x) = 62

This is 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 Problem 1 with 8

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Problem 2: 71 + 3x = 86

Subtract 71 from both sides:
3x = 86 - 71 → 3x = 15

Divide by 3:
x = 15/3 = 5

→ Match Problem 2 with 5

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Problem 3: 120 + (-11x) = 76

Same as:
120 - 11x = 76

Subtract 120 from both sides:
-11x = 76 - 120 → -11x = -44

Divide by -11:
x = (-44)/(-11) = 4

→ Match Problem 3 with 4

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Problem 4: 89 + (-9x) = 71

Same as:
89 - 9x = 71

Subtract 89:
-9x = 71 - 89 → -9x = -18

Divide by -9:
x = (-18)/(-9) = 2

→ Match Problem 4 with 2

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Problem 5: 44 - 2x = 30

Subtract 44:
-2x = 30 - 44 → -2x = -14

Divide by -2:
x = (-14)/(-2) = 7

→ Match Problem 5 with 7

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Problem 6: 32 + 4x = 16

Subtract 32:
4x = 16 - 32 → 4x = -16

Divide by 4:
x = -16/4 = -4

→ Match Problem 6 with -4

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Problem 7: 15 - 3x = 45

Subtract 15:
-3x = 45 - 15 → -3x = 30

Divide by -3:
x = 30 / (-3) = -10

→ Match Problem 7 with -10

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Problem 8: 100 + 4x = 80

Subtract 100:
4x = 80 - 100 → 4x = -20

Divide by 4:
x = -20/4 = -5

→ Match Problem 8 with -5

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Problem 9: 40 + 2x = 36

Subtract 40:
2x = 36 - 40 → 2x = -4

Divide by 2:
x = -4/2 = -2

→ Match Problem 9 with -2

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Problem 10: 48 + 2x = 32

Subtract 48:
2x = 32 - 48 → 2x = -16

Divide by 2:
x = -16/2 = -8

→ Match Problem 10 with -8

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Now let’s double-check all answers against the provided options:

Available answers:
5, -4, 7, -5, 8, -2, 2, -10, -8, 4

We used:
- 8 (for #1)
- 5 (for #2)
- 4 (for #3)
- 2 (for #4)
- 7 (for #5)
- -4 (for #6)
- -10 (for #7)
- -5 (for #8)
- -2 (for #9)
- -8 (for #10)

All values are in the list — no duplicates, no missing numbers. Perfect!

Final Answer:
1 → 8
2 → 5
3 → 4
4 → 2
5 → 7
6 → -4
7 → -10
8 → -5
9 → -2
10 → -8