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What is the value of x in the equation 5(x - 2) = 3x + 4?

Practice Questions

Q1
What is the value of x in the equation 5(x - 2) = 3x + 4?
  1. -1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

What is the value of x in the equation 5(x - 2) = 3x + 4?
  • Step 1: Start with the equation 5(x - 2) = 3x + 4.
  • Step 2: Expand the left side by distributing 5: 5 * x - 5 * 2 = 5x - 10.
  • Step 3: Now the equation looks like this: 5x - 10 = 3x + 4.
  • Step 4: To get all the x terms on one side, subtract 3x from both sides: 5x - 3x - 10 = 4.
  • Step 5: This simplifies to 2x - 10 = 4.
  • Step 6: Next, add 10 to both sides to isolate the term with x: 2x - 10 + 10 = 4 + 10.
  • Step 7: This simplifies to 2x = 14.
  • Step 8: Finally, divide both sides by 2 to solve for x: 2x / 2 = 14 / 2.
  • Step 9: This gives x = 7.
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