Which of the following is equivalent to ?

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. Dividing each side of the original equation by $\text{[math]}$ 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 $\text{[math]}$ 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 $\text{[math]}$ 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 $\text{[math]}$ gives $four thirds x, plus 2, equals 4$ , which is not equivalent to $3 x plus 2, equals 4$ .

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Question which-

Which of the following is equivalent to ?

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