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If 3x - 7 = 2x + 5, what is the value of x?

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Question: If 3x - 7 = 2x + 5, what is the value of x?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 5

Solution: 

3x - 2x = 5 + 7 => x = 12.

If 3x - 7 = 2x + 5, what is the value of x?

Practice Questions

Q1
If 3x - 7 = 2x + 5, what is the value of x?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

If 3x - 7 = 2x + 5, what is the value of x?
  • Step 1: Start with the equation 3x - 7 = 2x + 5.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 3x - 2x - 7 = 5.
  • Step 3: Simplify the left side. 3x - 2x is 1x, so now you have x - 7 = 5.
  • Step 4: Next, add 7 to both sides to isolate x. This gives you x = 5 + 7.
  • Step 5: Simplify the right side. 5 + 7 equals 12, so x = 12.
  • 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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