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If 5x - 3 = 2x + 12, what is x?

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Question: If 5x - 3 = 2x + 12, what is x?

Options:

  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: 4

Solution: 

5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

If 5x - 3 = 2x + 12, what is x?

Practice Questions

Q1
If 5x - 3 = 2x + 12, what is x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 5x - 3 = 2x + 12, what is x?
Correct Answer: 5
  • Step 1: Start with the equation 5x - 3 = 2x + 12.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 5x - 2x - 3 = 12.
  • Step 3: Simplify the left side. 5x - 2x is 3x, so now you have 3x - 3 = 12.
  • Step 4: Next, add 3 to both sides to get rid of the -3. This gives you 3x = 12 + 3.
  • Step 5: Simplify the right side. 12 + 3 is 15, so now you have 3x = 15.
  • Step 6: Finally, divide both sides by 3 to solve for x. This gives you x = 15 / 3.
  • Step 7: Simplify the division. 15 divided by 3 is 5, so x = 5.
  • 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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