Linear Equations in One Variable

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Q1. What is the solution to the equation 6x + 4 = 10?

Solution:

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

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Q2. What is the solution to the equation 4x + 1 = 17?

Solution:

Step 1: Subtract 1 from both sides: 4x = 16. Step 2: Divide both sides by 4: x = 4.

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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. 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.

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Q5. Solve for x: 7 - 3x = 1

Solution:

Step 1: Subtract 7 from both sides: -3x = -6. Step 2: Divide by -3: x = 2.

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Q6. Find 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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Q7. 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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Q8. What is the solution to the equation 6x - 4 = 2x + 8?

Solution:

Step 1: Subtract 2x from both sides: 4x - 4 = 8. Step 2: Add 4 to both sides: 4x = 12. Step 3: Divide by 4: x = 3.

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Q9. 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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Q10. If 8 - 2x = 0, what is x?

Solution:

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