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What is the value of x in the equation 4(x - 2) = 3(x + 1)?

Practice Questions

Q1
What is the value of x in the equation 4(x - 2) = 3(x + 1)?
  1. -1
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

What is the value of x in the equation 4(x - 2) = 3(x + 1)?
  • Step 1: Start with the equation 4(x - 2) = 3(x + 1).
  • Step 2: Expand the left side: 4 times (x - 2) becomes 4x - 8.
  • Step 3: Expand the right side: 3 times (x + 1) becomes 3x + 3.
  • Step 4: Now the equation looks like this: 4x - 8 = 3x + 3.
  • Step 5: To get all the x terms on one side, subtract 3x from both sides: 4x - 3x - 8 = 3.
  • Step 6: This simplifies to x - 8 = 3.
  • Step 7: Now, to isolate x, add 8 to both sides: x - 8 + 8 = 3 + 8.
  • Step 8: This simplifies to x = 11.
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