Linear Equations in One Variable

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Q1. If 8 - 2x = 0, what is x?

Solution:

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

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Q2. Solve for x: 6x + 2 = 20.

Solution:

Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide both sides by 6: x = 3.

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Q3. If 2x - 5 = 3x + 1, what is x?

Solution:

Step 1: Subtract 2x from both sides: -5 = x + 1. Step 2: Subtract 1 from both sides: x = -6.

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Q4. What is the solution to the equation 6x + 4 = 34?

Solution:

Step 1: Subtract 4 from both sides: 6x = 30. Step 2: Divide both sides by 6: x = 5.

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Q5. Solve for x: 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. What is the solution to the equation 4x - 5 = 3x + 2?

Solution:

Step 1: Subtract 3x from both sides: x - 5 = 2. Step 2: Add 5 to both sides: x = 7.

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Q7. Solve for x: 7x - 2 = 5x + 10

Solution:

Step 1: Subtract 5x from both sides: 2x - 2 = 10. Step 2: Add 2 to both sides: 2x = 12. Step 3: Divide by 2: x = 6.

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Q8. Find x in the equation 3(x - 2) = 12.

Solution:

Step 1: Divide both sides by 3: x - 2 = 4. Step 2: Add 2 to both sides: x = 6.

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Q9. If 4x + 1 = 2x + 9, what is x?

Solution:

Step 1: Subtract 2x from both sides: 2x + 1 = 9. Step 2: Subtract 1 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.

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Q10. If 5(x - 1) = 20, what is x?

Solution:

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