OG详解-OG6 数学2 Q10

Choice A is correct. Dividing each side of the given equation by 7 yields 7(2x−3)7​=637​​ , or 2x-3 = 9. Therefore, the equation 2x-3 = 9 is equivalent to the given equation and has the same solution.
Choice B is incorrect. This equation is equivalent to 7(2x-3) = 392, not7(2x-3) = 63. Choice C is incorrect. Distributing 7 on the left-hand side of the given equation yields 14x-21 = 63, not 2x-21 = 63. Choice D is incorrect. Distributing 7 on the left-hand side of the given equation yields 14x-21 = 63, not 2x-21 = 70.