50+ Multi-Step Equations worksheets for 8th Class on Quizizz ... - Free Printable

Sure! Let’s solve each of the 15 multi-step equations one by one, showing all steps clearly. The goal is to isolate the variable x on one side of the equation.

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1.  −6x + 14 = 26

Step 1: Subtract 14 from both sides:
−6x = 26 − 14
−6x = 12

Step 2: Divide both sides by −6:
x = 12 / (−6)
→ x = −2

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2.  3.5(8x − 6) = 21

Step 1: Distribute 3.5:
28x − 21 = 21

Step 2: Add 21 to both sides:
28x = 42

Step 3: Divide by 28:
x = 42 / 28 = 3/2
→ x = 1.5

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3.  6x + 5x − 8 + 2 = 5

Step 1: Combine like terms:
11x − 6 = 5

Step 2: Add 6 to both sides:
11x = 11

Step 3: Divide by 11:
→ x = 1

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4.  7x − 6 + 3x = 4x + 6

Step 1: Combine like terms on left:
10x − 6 = 4x + 6

Step 2: Subtract 4x from both sides:
6x − 6 = 6

Step 3: Add 6 to both sides:
6x = 12

Step 4: Divide by 6:
→ x = 2

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5.  0.5(−6x + 8) − 2x = 3x + 10

Step 1: Distribute 0.5:
−3x + 4 − 2x = 3x + 10

Step 2: Combine left side:
−5x + 4 = 3x + 10

Step 3: Subtract 3x from both sides:
−8x + 4 = 10

Step 4: Subtract 4:
−8x = 6

Step 5: Divide by −8:
x = 6 / (−8) = −3/4
→ x = −0.75

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6.  6x + 4 = 9x − 5

Step 1: Subtract 6x from both sides:
4 = 3x − 5

Step 2: Add 5 to both sides:
9 = 3x

Step 3: Divide by 3:
→ x = 3

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7.  6.5 − 3x − 7 = 7x + 6.5 + 3

Step 1: Simplify both sides:
Left: −3x − 0.5
Right: 7x + 9.5

So:
−3x − 0.5 = 7x + 9.5

Step 2: Subtract 7x from both sides:
−10x − 0.5 = 9.5

Step 3: Add 0.5:
−10x = 10

Step 4: Divide by −10:
→ x = −1

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8.  5x + 18 = 12x + 4

Step 1: Subtract 5x from both sides:
18 = 7x + 4

Step 2: Subtract 4:
14 = 7x

Step 3: Divide by 7:
→ x = 2

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9.  (2/5)(16 − 4x) = 12x + 3

Step 1: Distribute 2/5:
(32/5) − (8/5)x = 12x + 3

Step 2: Multiply entire equation by 5 to eliminate denominators:
32 − 8x = 60x + 15

Step 3: Add 8x to both sides:
32 = 68x + 15

Step 4: Subtract 15:
17 = 68x

Step 5: Divide by 68:
x = 17/68 = 1/4
→ x = 0.25

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10.  2x − 7 − 8x + 4 = 8 − 5x

Step 1: Combine like terms on left:
−6x − 3 = 8 − 5x

Step 2: Add 5x to both sides:
−x − 3 = 8

Step 3: Add 3:
−x = 11

Step 4: Multiply by −1:
→ x = −11

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11.  20 + 4x − 3 + x = 2

Step 1: Combine like terms:
5x + 17 = 2

Step 2: Subtract 17:
5x = −15

Step 3: Divide by 5:
→ x = −3

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12.  (2/5)x + 7 − (3/5)x = 12

Step 1: Combine x terms:
(−1/5)x + 7 = 12

Step 2: Subtract 7:
(−1/5)x = 5

Step 3: Multiply both sides by −5:
x = 5 × (−5) = −25
→ x = −25

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13.  2.4 − 3x + 5.7 − 7x = 14x − 4x + 5.7

Step 1: Combine like terms on both sides:
Left: −10x + 8.1
Right: 10x + 5.7

So:
−10x + 8.1 = 10x + 5.7

Step 2: Add 10x to both sides:
8.1 = 20x + 5.7

Step 3: Subtract 5.7:
2.4 = 20x

Step 4: Divide by 20:
x = 2.4 / 20 = 0.12
→ x = 0.12

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14.  2x + 8x − 4x = −24 + 36

Step 1: Combine like terms:
6x = 12

Step 2: Divide by 6:
→ x = 2

*(Note: Problem #15 is cut off in the image. If you can provide it, I’ll solve it too!)*

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## ✔ Final Answers:

1. x = −2
2. x = 1.5
3. x = 1
4. x = 2
5. x = −0.75
6. x = 3
7. x = −1
8. x = 2
9. x = 0.25
10. x = −11
11. x = −3
12. x = −25
13. x = 0.12
14. x = 2
15. *(Not visible — please provide if needed)*

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Let me know if you’d like these formatted as a worksheet or need explanations for any specific step!