Printable worksheet for solving multi-step equations, ideal for middle school math students.

Let's solve each of the multi-step equations step by step. I'll go through them one at a time, showing the steps clearly.

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16) $ 6x + 18 = 48 $

Step 1: Subtract 18 from both sides
$ 6x = 48 - 18 $
$ 6x = 30 $

Step 2: Divide both sides by 6
$ x = \frac{30}{6} = 5 $

✔ Answer: $ x = 5 $

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17) $ \frac{1}{2}x - 12 = 2 $

Step 1: Add 12 to both sides
$ \frac{1}{2}x = 2 + 12 = 14 $

Step 2: Multiply both sides by 2 (to eliminate the fraction)
$ x = 14 \times 2 = 28 $

✔ Answer: $ x = 28 $

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18) $ \frac{1}{3}x + 6 = 9 $

Step 1: Subtract 6 from both sides
$ \frac{1}{3}x = 9 - 6 = 3 $

Step 2: Multiply both sides by 3
$ x = 3 \times 3 = 9 $

✔ Answer: $ x = 9 $

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19) $ \frac{1}{4}x + 4 = 9 $

Step 1: Subtract 4 from both sides
$ \frac{1}{4}x = 9 - 4 = 5 $

Step 2: Multiply both sides by 4
$ x = 5 \times 4 = 20 $

✔ Answer: $ x = 20 $

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20) $ 9x - 27 = 63 $

Step 1: Add 27 to both sides
$ 9x = 63 + 27 = 90 $

Step 2: Divide both sides by 9
$ x = \frac{90}{9} = 10 $

✔ Answer: $ x = 10 $

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21) $ 12x - 12 = 156 $

Step 1: Add 12 to both sides
$ 12x = 156 + 12 = 168 $

Step 2: Divide both sides by 12
$ x = \frac{168}{12} = 14 $

✔ Answer: $ x = 14 $

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22) $ \frac{4}{5}x + 13 = 17 $

Step 1: Subtract 13 from both sides
$ \frac{4}{5}x = 17 - 13 = 4 $

Step 2: Multiply both sides by $ \frac{5}{4} $ (reciprocal of $ \frac{4}{5} $)
$ x = 4 \times \frac{5}{4} = 5 $

✔ Answer: $ x = 5 $

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23) $ 4x + 12 = 56 $

Step 1: Subtract 12 from both sides
$ 4x = 56 - 12 = 44 $

Step 2: Divide both sides by 4
$ x = \frac{44}{4} = 11 $

✔ Answer: $ x = 11 $

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24) $ \frac{3}{4}x + 5 = 13 $

Step 1: Subtract 5 from both sides
$ \frac{3}{4}x = 13 - 5 = 8 $

Step 2: Multiply both sides by $ \frac{4}{3} $
$ x = 8 \times \frac{4}{3} = \frac{32}{3} $

✔ Answer: $ x = \frac{32}{3} $ or $ 10\frac{2}{3} $

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25) $ 11x - 33 = 55 $

Step 1: Add 33 to both sides
$ 11x = 55 + 33 = 88 $

Step 2: Divide by 11
$ x = \frac{88}{11} = 8 $

✔ Answer: $ x = 8 $

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26) $ 30x - 90 = 160 $

Step 1: Add 90 to both sides
$ 30x = 160 + 90 = 250 $

Step 2: Divide by 30
$ x = \frac{250}{30} = \frac{25}{3} \approx 8.33 $

✔ Answer: $ x = \frac{25}{3} $ or $ 8\frac{1}{3} $

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27) $ \frac{1}{6}x - 4 = 7 $

Step 1: Add 4 to both sides
$ \frac{1}{6}x = 7 + 4 = 11 $

Step 2: Multiply both sides by 6
$ x = 11 \times 6 = 66 $

✔ Answer: $ x = 66 $

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28) $ \frac{1}{5}x + 5 = 18 $

Step 1: Subtract 5 from both sides
$ \frac{1}{5}x = 18 - 5 = 13 $

Step 2: Multiply both sides by 5
$ x = 13 \times 5 = 65 $

✔ Answer: $ x = 65 $

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29) $ 50x - 150 = 750 $

Step 1: Add 150 to both sides
$ 50x = 750 + 150 = 900 $

Step 2: Divide by 50
$ x = \frac{900}{50} = 18 $

✔ Answer: $ x = 18 $

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30) $ 14x - 28 = 42 $

Step 1: Add 28 to both sides
$ 14x = 42 + 28 = 70 $

Step 2: Divide by 14
$ x = \frac{70}{14} = 5 $

✔ Answer: $ x = 5 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 16 | $ x = 5 $ |
| 17 | $ x = 28 $ |
| 18 | $ x = 9 $ |
| 19 | $ x = 20 $ |
| 20 | $ x = 10 $ |
| 21 | $ x = 14 $ |
| 22 | $ x = 5 $ |
| 23 | $ x = 11 $ |
| 24 | $ x = \frac{32}{3} $ |
| 25 | $ x = 8 $ |
| 26 | $ x = \frac{25}{3} $ |
| 27 | $ x = 66 $ |
| 28 | $ x = 65 $ |
| 29 | $ x = 18 $ |
| 30 | $ x = 5 $ |

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