Linear Equations in One Variable

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Q1. Find x in the equation 4(x - 2) = 12.

Solution:

Step 1: Divide both sides by 4: x - 2 = 3. Step 2: Add 2 to both sides: x = 5.

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Q2. If 9x - 3 = 24, what is x?

Solution:

Step 1: Add 3 to both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

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Q3. What is the solution to the equation 7x + 1 = 22?

Solution:

Step 1: Subtract 1 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.

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Q4. If 9x - 4 = 5, what is x?

Solution:

Step 1: Add 4 to both sides: 9x = 9. Step 2: Divide both sides by 9: x = 1.

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Q5. What is the solution to the equation 9x + 1 = 28?

Solution:

Step 1: Subtract 1 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

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Q6. Find x if 2(x + 3) = 16.

Solution:

Step 1: Divide both sides by 2: x + 3 = 8. Step 2: Subtract 3 from both sides: x = 5.

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Q7. What is the solution to the equation 8 - 2x = 0?

Solution:

Step 1: Subtract 8 from both sides: -2x = -8. Step 2: Divide both sides by -2: x = 4.

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Q8. If 9x + 4 = 31, what is x?

Solution:

Step 1: Subtract 4 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

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Q9. Solve for x: 4x + 5 = 29

Solution:

Step 1: Subtract 5 from both sides: 4x = 24. Step 2: Divide both sides by 4: x = 6.

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Q10. Find x if 2(x - 3) = 10.

Solution:

Step 1: Divide both sides by 2: x - 3 = 5. Step 2: Add 3 to both sides: x = 8.