How do you solve the equation 1/3 * 2x = 8 – 4?

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To solve the equation 1/3 * 2x = 8 – 4, we will follow these steps:

  1. Simplify the equation: First, let’s simplify the right side of the equation:
    • 8 – 4 = 4
  2. So the equation now reads: 1/3 * 2x = 4
  3. Eliminate the fraction: To eliminate the fraction on the left side, multiply both sides of the equation by 3:
    • (3) * (1/3 * 2x) = (3) * (4)
  4. This simplifies to:
    • 2x = 12
  5. Solve for x: Now, divide both sides of the equation by 2 to isolate x:
    • 2x / 2 = 12 / 2
  6. This results in:
    • x = 6

Conclusion: The solution to the equation 1/3 * 2x = 8 – 4 is x = 6.

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