Creating and Solving Equations worksheet - Free Printable

Let’s go row by row and turn each description into an equation, then solve for x.

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Row 2: “I subtract 5 from it. The answer is 8.”

That means:
x - 5 = 8
Add 5 to both sides:
x = 8 + 5 → x = 13

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Row 3: “I multiply it by 4 and subtract 4. The answer is 10.”

Equation:
4x - 4 = 10
Add 4 to both sides:
4x = 14
Divide by 4:
x = 14 ÷ 4 → x = 3.5 (or 7/2)

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Row 4: “I divide it by 4. The answer is 8.”

Equation:
x ÷ 4 = 8 → or x/4 = 8
Multiply both sides by 4:
x = 8 × 4 → x = 32

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Row 5: “I multiply it by 5. The answer is 10.”

Equation:
5x = 10
Divide by 5:
x = 10 ÷ 5 → x = 2

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Row 6: “I subtract 5 and divide by 2. The answer is 14”

This means: take x, subtract 5, then divide the result by 2 → equals 14
Equation:
(x - 5) ÷ 2 = 14 → or (x - 5)/2 = 14
Multiply both sides by 2:
x - 5 = 28
Add 5:
x = 28 + 5 → x = 33

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Row 7: “I multiply it by 4 and divide by 5. The answer is 10”

Equation:
(4x) ÷ 5 = 10 → or 4x/5 = 10
Multiply both sides by 5:
4x = 50
Divide by 4:
x = 50 ÷ 4 → x = 12.5 (or 25/2)

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Row 8: “I multiply it by 2 and subtract 10. The answer is 8.”

Equation:
2x - 10 = 8
Add 10:
2x = 18
Divide by 2:
x = 9 → x = 9

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Row 9: “I multiply by 3, add 6, then divide by 3. The answer is 10.”

Step-by-step:
Start with x → multiply by 3 → 3x
Add 6 → 3x + 6
Divide by 3 → (3x + 6)/3 = 10

Simplify left side:
(3x)/3 + 6/3 = x + 2
So:
x + 2 = 10
Subtract 2:
x = 8 → x = 8

*(Alternatively, you could solve without simplifying first:
(3x + 6)/3 = 10 → multiply both sides by 3 → 3x + 6 = 30 → 3x = 24 → x = 8)*

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Row 10: “I add 8 and divide 4. The answer is 14.”

Wait — this wording is a bit unclear. It says “add 8 and divide 4”. Probably means:
Take x, add 8, then divide that sum by 4 → equals 14.

So:
(x + 8) ÷ 4 = 14 → or (x + 8)/4 = 14
Multiply both sides by 4:
x + 8 = 56
Subtract 8:
x = 48 → x = 48

*(Note: If it meant “divide by 4” after adding 8, which is what we assumed, this is correct. The phrase “divide 4” is likely a typo and should be “divide by 4”.)*

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Now let’s collect all answers in order:

Row 1 (given): x = 3
Row 2: x = 13
Row 3: x = 3.5
Row 4: x = 32
Row 5: x = 2
Row 6: x = 33
Row 7: x = 12.5
Row 8: x = 9
Row 9: x = 8
Row 10: x = 48

Final Answer:
13, 3.5, 32, 2, 33, 12.5, 9, 8, 48