Free 9th Grade Math Worksheets—Printable w/ Answers — Mashup Math - Free Printable

Sure! Let’s solve each of the 16 two-sided algebraic equations step by step. The goal is to isolate the variable (usually `x`) on one side of the equation.

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1.) x + 142 = 16x + 7

Subtract `x` from both sides:
→ 142 = 15x + 7

Subtract 7 from both sides:
→ 135 = 15x

Divide by 15:
→ x = 9

✔ Answer: x = 9

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2.) 8x = 2x - 6

Subtract `2x` from both sides:
→ 6x = -6

Divide by 6:
→ x = -1

✔ Answer: x = -1

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3.) 1 + 9x = 7 + 8x

Subtract `8x` from both sides:
→ 1 + x = 7

Subtract 1:
→ x = 6

✔ Answer: x = 6

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4.) -8x + 8 = 10 + 5 - 9x

Simplify right side: 10 + 5 = 15
→ -8x + 8 = 15 - 9x

Add `9x` to both sides:
→ x + 8 = 15

Subtract 8:
→ x = 7

✔ Answer: x = 7

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5.) 7x + 2 = -10x + 2

Add `10x` to both sides:
→ 17x + 2 = 2

Subtract 2:
→ 17x = 0

→ x = 0

✔ Answer: x = 0

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6.) 55 - x = 2x + 13

Add `x` to both sides:
→ 55 = 3x + 13

Subtract 13:
→ 42 = 3x

Divide by 3:
→ x = 14

✔ Answer: x = 14

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7.) -3x - 4x = -8x + 1

Combine like terms on left: -7x
→ -7x = -8x + 1

Add `8x` to both sides:
→ x = 1

✔ Answer: x = 1

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8.) 5 - 5x + 6 = 4 - 4x

Simplify left: 11 - 5x
→ 11 - 5x = 4 - 4x

Add `5x` to both sides:
→ 11 = 4 + x

Subtract 4:
→ x = 7

✔ Answer: x = 7

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9.) 7x - 5 = 9x + 9

Subtract `7x` from both sides:
→ -5 = 2x + 9

Subtract 9:
→ -14 = 2x

Divide by 2:
→ x = -7

✔ Answer: x = -7

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10.) -20 - 8x = 5x - 7

Add `8x` to both sides:
→ -20 = 13x - 7

Add 7:
→ -13 = 13x

Divide by 13:
→ x = -1

✔ Answer: x = -1

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11.) 100 - x = 6 + 11x + 10

Simplify right: 16 + 11x
→ 100 - x = 16 + 11x

Add `x` to both sides:
→ 100 = 16 + 12x

Subtract 16:
→ 84 = 12x

Divide by 12:
→ x = 7

✔ Answer: x = 7

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12.) -5 + 5x = 10x + 4 - 6x

Simplify right: 10x - 6x = 4x → 4x + 4
→ -5 + 5x = 4x + 4

Subtract `4x` from both sides:
→ -5 + x = 4

Add 5:
→ x = 9

✔ Answer: x = 9

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13.) x - 9 = 5x - 2 - 5x

Simplify right: 5x - 5x = 0 → -2
→ x - 9 = -2

Add 9:
→ x = 7

✔ Answer: x = 7

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14.) 38 + 12x = 64 - x

Add `x` to both sides:
→ 38 + 13x = 64

Subtract 38:
→ 13x = 26

Divide by 13:
→ x = 2

✔ Answer: x = 2

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15.) 3x - 10 = 4x - 8

Subtract `3x` from both sides:
→ -10 = x - 8

Add 8:
→ x = -2

✔ Answer: x = -2

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16.) x + 2 = 2x + 14

Subtract `x` from both sides:
→ 2 = x + 14

Subtract 14:
→ x = -12

✔ Answer: x = -12

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## ✔ Final Answers:

1. x = 9
2. x = -1
3. x = 6
4. x = 7
5. x = 0
6. x = 14
7. x = 1
8. x = 7
9. x = -7
10. x = -1
11. x = 7
12. x = 9
13. x = 7
14. x = 2
15. x = -2
16. x = -12

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Let me know if you’d like a worksheet with these answers or step-by-step explanations for any specific problem!