Printable algebra worksheet featuring 18 multi-step equations for practice.

Let’s solve each equation one by one. I’ll show you how to do it step by step so you can follow along and learn.

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1) –20 = –4x – 6x

Combine like terms on the right:
–4x – 6x = –10x
So:
–20 = –10x

Divide both sides by –10:
x = (–20)/(–10) = 2

✔ Final Answer for #1: x = 2

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2) 6 = 1 – 2n + 5

Simplify the right side:
1 + 5 = 6, so:
6 = 6 – 2n

Subtract 6 from both sides:
0 = –2n

Divide by –2:
n = 0 / (–2) = 0

✔ Final Answer for #2: n = 0

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3) 8x – 2 = –9 + 7x

Get all x terms on one side. Subtract 7x from both sides:
8x – 7x – 2 = –9
→ x – 2 = –9

Add 2 to both sides:
x = –9 + 2 = –7

✔ Final Answer for #3: x = –7

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4) a + 5 = –5a + 5

Add 5a to both sides:
a + 5a + 5 = 5
→ 6a + 5 = 5

Subtract 5 from both sides:
6a = 0

Divide by 6:
a = 0

✔ Final Answer for #4: a = 0

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5) 4m – 4 = 4m

Subtract 4m from both sides:
–4 = 0 → This is NOT true!

That means there’s no solution. The equation is impossible.

✔ Final Answer for #5: No solution

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6) p – 1 = 5p + 3p – 8

First combine like terms on the right:
5p + 3p = 8p
So:
p – 1 = 8p – 8

Subtract p from both sides:
–1 = 7p – 8

Add 8 to both sides:
7 = 7p

Divide by 7:
p = 1

✔ Final Answer for #6: p = 1

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7) 5p – 14 = 8p + 4

Subtract 5p from both sides:
–14 = 3p + 4

Subtract 4 from both sides:
–18 = 3p

Divide by 3:
p = –6

✔ Final Answer for #7: p = –6

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8) p – 4 = –9 + p

Subtract p from both sides:
–4 = –9 → Not true!

This is also no solution.

✔ Final Answer for #8: No solution

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9) –8 = –(x + 4)

Distribute the negative sign:
–8 = –x – 4

Add 4 to both sides:
–4 = –x

Multiply both sides by –1:
x = 4

✔ Final Answer for #9: x = 4

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10) 12 = –4(–6x – 3)

Distribute –4:
–4 × –6x = 24x
–4 × –3 = 12
So:
12 = 24x + 12

Subtract 12 from both sides:
0 = 24x

Divide by 24:
x = 0

✔ Final Answer for #10: x = 0

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11) 14 = –(p – 8)

Distribute the negative:
14 = –p + 8

Subtract 8 from both sides:
6 = –p

Multiply by –1:
p = –6

✔ Final Answer for #11: p = –6

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12) –(7 – 4x) = 9

Distribute the negative:
–7 + 4x = 9

Add 7 to both sides:
4x = 16

Divide by 4:
x = 4

✔ Final Answer for #12: x = 4

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13) –18 – 6k = 6(1 + 3k)

Distribute 6 on the right:
6×1 = 6, 6×3k = 18k
So:
–18 – 6k = 6 + 18k

Add 6k to both sides:
–18 = 6 + 24k

Subtract 6:
–24 = 24k

Divide by 24:
k = –1

✔ Final Answer for #13: k = –1

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14) 5n + 34 = –2(1 – 7n)

Distribute –2:
–2×1 = –2, –2×–7n = 14n
So:
5n + 34 = –2 + 14n

Subtract 5n from both sides:
34 = –2 + 9n

Add 2:
36 = 9n

Divide by 9:
n = 4

✔ Final Answer for #14: n = 4

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15) 2(4x – 3) – 8 = 4 + 2x

Distribute 2:
8x – 6 – 8 = 4 + 2x
→ 8x – 14 = 4 + 2x

Subtract 2x:
6x – 14 = 4

Add 14:
6x = 18

Divide by 6:
x = 3

✔ Final Answer for #15: x = 3

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16) 3n – 5 = –8(6 + 5n)

Distribute –8:
–8×6 = –48, –8×5n = –40n
So:
3n – 5 = –48 – 40n

Add 40n to both sides:
43n – 5 = –48

Add 5:
43n = –43

Divide by 43:
n = –1

✔ Final Answer for #16: n = –1

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17) –(1 + 7x) – 6(–7 – x) = 36

Distribute negatives:

First part: –(1 + 7x) = –1 – 7x
Second part: –6(–7 – x) = 42 + 6x [because –6×–7=42, –6×–x=+6x]

Now combine:
–1 – 7x + 42 + 6x = 36
→ (–1 + 42) + (–7x + 6x) = 36
→ 41 – x = 36

Subtract 41:
–x = –5

Multiply by –1:
x = 5

✔ Final Answer for #17: x = 5

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18) –3(4x + 3) + 4(6x + 1) = 43

Distribute:

–3×4x = –12x, –3×3 = –9
4×6x = 24x, 4×1 = 4

So:
–12x – 9 + 24x + 4 = 43
→ (–12x + 24x) + (–9 + 4) = 43
→ 12x – 5 = 43

Add 5:
12x = 48

Divide by 12:
x = 4

✔ Final Answer for #18: x = 4

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Final Answer:
1) x = 2
2) n = 0
3) x = –7
4) a = 0
5) No solution
6) p = 1
7) p = –6
8) No solution
9) x = 4
10) x = 0
11) p = –6
12) x = 4
13) k = –1
14) n = 4
15) x = 3
16) n = –1
17) x = 5
18) x = 4