Linear Equations in One Variable

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Q1. What is the solution to the equation 6x - 5 = 19?

Solution:

Step 1: Add 5 to both sides: 6x = 24. Step 2: Divide both sides by 6: x = 4.

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Q2. Solve for x: 2(x + 3) = 14

Solution:

Divide by 2: x + 3 = 7. Subtract 3: x = 4.

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Q3. Find x if 7x + 2 = 23.

Solution:

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

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Q4. What is the solution to the equation 7x + 2 = 23?

Solution:

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

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Q5. Solve for x: 7 - 2x = 1

Solution:

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

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Q6. What is the value of x in the equation 2(x - 3) = 8?

Solution:

Step 1: Divide both sides by 2: x - 3 = 4. Step 2: Add 3 to both sides: x = 7.

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Q7. If 5(x - 1) = 15, what is x?

Solution:

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

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Q8. Solve for x: 7x - 4 = 24

Solution:

Step 1: Add 4 to both sides: 7x = 28. Step 2: Divide by 7: x = 4.

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Q9. Solve for x: 4x - 12 = 0

Solution:

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

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Q10. What is the value of x in the equation 7x + 2 = 23?

Solution:

Subtract 2: 7x = 21. Divide by 7: x = 3.