Which of the following is equivalent to 4 x + 6 = 12 ?

Note: The blue and green equations graph as the same line, so choice D matches.

SAT Question 7392dfc1: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect. Dividing each side of the original equation by $2$ gives $2 x + 3 = 6$ , which is not equivalent to $2 x + 4 = 6$ .

Choice B

Choice B is incorrect. Dividing each side of the original equation by $4$ gives $x + \frac{3}{2} = 3$ , which is not equivalent to $x + 3 = 3$ .

Choice C

Choice C is incorrect. Dividing each side of the original equation by $3$ gives $\frac{4}{3} x + 2 = 4$ , which is not equivalent to $3 x + 2 = 4$ .