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Rewrite the following equation with the same solution set: 3x-2 = 2x+7

  1. 5x = 9

  2. 5x - 4 = 7

  3. 5x + 4 = 9

  4. 5x + 2 = 7

The correct answer is: 5x + 4 = 9

The other options are incorrect because they do not have the same solution set as the original equation. Option A does not contain any variables, so it cannot represent the same equation. Option B adds and subtracts different numbers on both sides of the equation, resulting in a different solution set. Option D has a different constant term on the right side of the equation. Only option C has the same variables and constant terms on both sides of the equation, resulting in the same solution set as the original equation.