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If 3x + 5 = 2x + 10, what is the value of x?

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Question: If 3x + 5 = 2x + 10, what is the value of x?

Options:

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

Correct Answer: 3

Solution: 

Subtract 2x from both sides: x + 5 = 10. Subtract 5 from both sides: x = 5.

If 3x + 5 = 2x + 10, what is the value of x?

Practice Questions

Q1
If 3x + 5 = 2x + 10, what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 3x + 5 = 2x + 10, what is the value of x?
  • Step 1: Start with the equation 3x + 5 = 2x + 10.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 3x - 2x + 5 = 10.
  • Step 3: Simplify the left side. 3x - 2x is x, so now you have x + 5 = 10.
  • Step 4: Now, to isolate x, subtract 5 from both sides. This gives you x + 5 - 5 = 10 - 5.
  • Step 5: Simplify the right side. 10 - 5 is 5, so now you have x = 5.
  • Linear Equations – The question tests the ability to solve a linear equation by isolating the variable.
  • Algebraic Manipulation – It assesses skills in performing operations on both sides of an equation to find the value of x.
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