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

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

Options:

  1. x = -6
  2. x = -4
  3. x = 4
  4. x = 6

Correct Answer: x = -4

Solution: 

Step 1: Subtract 2x from both sides: -5 = x + 1. Step 2: Subtract 1 from both sides: x = -6.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If 2x - 5 = 3x + 1, what is 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 = x + 1.
  • Step 3: Now, you want to isolate x. To do this, subtract 1 from both sides. This results in -5 - 1 = x.
  • Step 4: Simplify the left side. -5 - 1 equals -6, so you have x = -6.
  • 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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