Printable multi-step equations worksheet for algebra practice.

Let’s solve each equation step by step.

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1) 12a + 6a = -6

Combine like terms:
18a = -6

Divide both sides by 18:
a = -6 ÷ 18
a = -1/3

✔ Check: 12(-1/3) + 6(-1/3) = -4 + (-2) = -6 → Correct!

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2) 0 = -4n - 3n

Combine like terms on right:
0 = -7n

Divide both sides by -7:
n = 0

✔ Check: -4(0) - 3(0) = 0 → Correct!

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3) -6 = -(x + 2)

Distribute the negative sign:
-6 = -x - 2

Add 2 to both sides:
-4 = -x

Multiply both sides by -1:
x = 4

✔ Check: -(4 + 2) = -6 → Correct!

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4) 2q - 4 = -9 + q

Subtract q from both sides:
q - 4 = -9

Add 4 to both sides:
q = -5

✔ Check: 2(-5) - 4 = -10 - 4 = -14; -9 + (-5) = -14 → Correct!

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5) 4(2x - 2) - 6 = 4 + 2x

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

Subtract 2x from both sides:
6x - 14 = 4

Add 14 to both sides:
6x = 18

Divide by 6:
x = 3

✔ Check: Left: 4(6 - 2) - 6 = 4(4) - 6 = 16 - 6 = 10; Right: 4 + 6 = 10 → Correct!

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6) -3(1 + 4r) = -3

Distribute -3:
-3 - 12r = -3

Add 3 to both sides:
-12r = 0

Divide by -12:
r = 0

✔ Check: -3(1 + 0) = -3 → Correct!

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7) -7 = r/(-6) + 12

Subtract 12 from both sides:
-19 = r/(-6)

Multiply both sides by -6:
r = (-19)(-6) = 114

✔ Check: 114 / (-6) = -19; -19 + 12 = -7 → Correct!

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8) (b - 12)/(-4) = 8

Multiply both sides by -4:
b - 12 = -32

Add 12 to both sides:
b = -20

✔ Check: (-20 - 12)/(-4) = (-32)/(-4) = 8 → Correct!

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9) 1 - a/5 = -3

Subtract 1 from both sides:
-a/5 = -4

Multiply both sides by -5:
a = 20

✔ Check: 1 - 20/5 = 1 - 4 = -3 → Correct!

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10) 16 = -4(-4x - 4)

Distribute -4:
16 = 16x + 16

Subtract 16 from both sides:
0 = 16x

Divide by 16:
x = 0

✔ Check: -4(0 - 4) = -4(-4) = 16 → Correct!

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11) 3x(2 + 4) = -72

Simplify inside parentheses:
3x(6) = -72
→ 18x = -72

Divide by 18:
x = -4

✔ Check: 3(-4)(6) = -12 * 6 = -72 → Correct!

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12) 13x - 3x + 6 - x = 87

Combine like terms:
(13x - 3x - x) + 6 = 87
→ 9x + 6 = 87

Subtract 6:
9x = 81

Divide by 9:
x = 9

✔ Check: 13(9) - 3(9) + 6 - 9 = 117 - 27 + 6 - 9 = 90 + 6 - 9 = 96 - 9 = 87 → Correct!

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Final Answer:
1) a = -1/3
2) n = 0
3) x = 4
4) q = -5
5) x = 3
6) r = 0
7) r = 114
8) b = -20
9) a = 20
10) x = 0
11) x = -4
12) x = 9