Linear Equations in One Variable

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Q1. What is the value of x in the equation 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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Q2. Solve for x: 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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Q3. 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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Q4. 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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Q5. Find the solution for x in the equation 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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Q6. If 6x - 4 = 26, what is x?

Solution:

Step 1: Add 4 to both sides: 6x = 30. Step 2: Divide both sides by 6: x = 5.

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Q7. What is the value of x in the equation 6x - 2 = 4?

Solution:

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

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Q8. 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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Q9. 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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Q10. 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.