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If 7x - 3 = 4x + 6, what is x?

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Question: If 7x - 3 = 4x + 6, what is x?

Options:

  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Correct Answer: x = 2

Solution: 

Subtract 4x from both sides: 3x - 3 = 6. Add 3: 3x = 9. Divide by 3: x = 3.

If 7x - 3 = 4x + 6, what is x?

Practice Questions

Q1
If 7x - 3 = 4x + 6, what is x?
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Questions & Step-by-Step Solutions

If 7x - 3 = 4x + 6, what is x?
  • Step 1: Start with the equation 7x - 3 = 4x + 6.
  • Step 2: Subtract 4x from both sides to get 7x - 4x - 3 = 6.
  • Step 3: Simplify the left side to get 3x - 3 = 6.
  • Step 4: Add 3 to both sides to eliminate -3: 3x - 3 + 3 = 6 + 3.
  • Step 5: This simplifies to 3x = 9.
  • Step 6: Divide both sides by 3 to solve for x: 3x / 3 = 9 / 3.
  • Step 7: This gives you x = 3.
  • Algebraic Equations – The question tests the ability to solve a linear equation by isolating the variable.
  • Operations with Equations – It assesses the understanding of performing operations (addition, subtraction, division) on both sides of an equation.
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