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Algebra / Linear equations in one variable Difficulty: Easy

Which of the following is equivalent to 4 x plus 6 equals 12 ?

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Explanation

Choice D is correct. Dividing each side of the original equation by yields the fraction with numerator 4 x plus 6, and denominator 2, equals twelve halves, which simplifies to 2 x plus 3, equals 6.

Choice A is incorrect. Dividing each side of the original equation by gives 2 x plus 3, equals 6, which is not equivalent to 2 x plus 4, equals 6. Choice B is incorrect. Dividing each side of the original equation by  gives x plus three halves, equals 3, which is not equivalent to x plus 3, equals 3. Choice C is incorrect. Dividing each side of the original equation by gives four thirds x, plus 2, equals 4, which is not equivalent to 3 x plus 2, equals 4