How many solutions does the equation 12 x - 3 = - 3 x + 12 have?

Question

Accepted Answer

Choice A is correct. Distributing 12 on the left-hand side and - 3 on the right-hand side of the given equation yields 12 x - 36 = - 3 x - 36 . Adding 3 x to each side of this equation yields 15 x - 36 = - 36 . Adding 36 to each side of this equation yields 15 x = 0 . Dividing each side of this equation by 15 yields x = 0 . This means that 0 is the only solution to the given equation. Therefore, the given equation has exactly one solution. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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