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What is the solution to the equation 3(x + 2) = 2(x + 5)?

Practice Questions

Q1
What is the solution to the equation 3(x + 2) = 2(x + 5)?
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Questions & Step-by-Step Solutions

What is the solution to the equation 3(x + 2) = 2(x + 5)?
  • Step 1: Distribute the 3 on the left side of the equation: 3(x + 2) becomes 3x + 6. The equation now looks like this: 3x + 6 = 2(x + 5).
  • Step 2: Distribute the 2 on the right side of the equation: 2(x + 5) becomes 2x + 10. The equation now looks like this: 3x + 6 = 2x + 10.
  • Step 3: Subtract 2x from both sides of the equation to get all the x terms on one side: 3x - 2x + 6 = 10. This simplifies to x + 6 = 10.
  • Step 4: Subtract 6 from both sides of the equation to isolate x: x + 6 - 6 = 10 - 6. This simplifies to x = 4.
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