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

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

Options:

  1. 3
  2. 2
  3. 1
  4. 0

Correct Answer: 2

Solution: 

Subtracting 4x from both sides gives 3x - 3 = 6, then adding 3 gives 3x = 9, leading to x = 3.

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

Practice Questions

Q1
If 7x - 3 = 4x + 6, what is the value of x?
  1. 3
  2. 2
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If 7x - 3 = 4x + 6, what is the value of 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: This simplifies to 3x - 3 = 6.
  • Step 4: Now, add 3 to both sides to eliminate -3. This gives you 3x = 6 + 3.
  • Step 5: Simplifying the right side gives you 3x = 9.
  • Step 6: Finally, divide both sides by 3 to solve for x. This gives you x = 9 / 3.
  • Step 7: Therefore, x = 3.
  • Linear Equations – The question tests the ability to solve a linear equation by isolating the variable.
  • Algebraic Manipulation – It assesses skills in rearranging and simplifying equations correctly.
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