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What is the value of x in the equation 4x - 7 = 5x + 2?

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Question: What is the value of x in the equation 4x - 7 = 5x + 2?

Options:

  1. x = -9
  2. x = 11
  3. x = 1
  4. x = -1

Correct Answer: x = 1

Solution: 

Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Therefore, x = -9.

What is the value of x in the equation 4x - 7 = 5x + 2?

Practice Questions

Q1
What is the value of x in the equation 4x - 7 = 5x + 2?
  1. x = -9
  2. x = 11
  3. x = 1
  4. x = -1

Questions & Step-by-Step Solutions

What is the value of x in the equation 4x - 7 = 5x + 2?
  • Step 1: Start with the equation 4x - 7 = 5x + 2.
  • Step 2: To get all the x terms on one side, subtract 4x from both sides. This gives you -7 = x + 2.
  • Step 3: Now, you want to isolate x. To do this, subtract 2 from both sides. This results in -7 - 2 = x.
  • Step 4: Simplify the left side: -7 - 2 equals -9. So, you have -9 = x.
  • Step 5: Finally, you can write this as x = -9.
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