If 9 ( 4 - 3 x ) + 2 = 8 ( 4 - 3 x ) + 18

Question

If 9 ( 4 - 3 x ) + 2 = 8 ( 4 - 3 x ) + 18 , what is the value of 4 - 3 x ?

Accepted Answer

Choice D is correct. The value of 4 - 3 x can be found by isolating this expression in the given equation. Subtracting 2 from both sides of the given equation yields 9 4 - 3 x = 8 4 - 3 x + 16 . Subtracting 8 4 - 3 x from both sides of this equation yields 9 4 - 3 x - 8 4 - 3 x = 16 , which gives 1 4 - 3 x = 16 , or 4 - 3 x = 16 . Therefore, the value of 4 - 3 x is 16 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is the value of x , not 4 - 3 x . Choice C is incorrect and may result from conceptual or calculation errors.

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