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If 2x + 5 = 3x - 1, what is the value of x?

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Question: If 2x + 5 = 3x - 1, what is the value of x?

Options:

  1. -6
  2. 6
  3. 4
  4. 2

Correct Answer: -6

Solution: 

Rearranging gives: 5 + 1 = 3x - 2x, thus x = 6.

If 2x + 5 = 3x - 1, what is the value of x?

Practice Questions

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

Questions & Step-by-Step Solutions

If 2x + 5 = 3x - 1, what is the value of x?
  • Step 1: Start with the equation 2x + 5 = 3x - 1.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides. This gives you 5 = 3x - 2x - 1.
  • Step 3: Simplify the right side. 3x - 2x is 1x, so now you have 5 = x - 1.
  • Step 4: Next, to isolate x, add 1 to both sides. This gives you 5 + 1 = x.
  • Step 5: Simplify the left side. 5 + 1 is 6, so x = 6.
  • 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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