Question if-9-4

1.2 Linear Equations in One Variable - Variables on both sides
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If 9(4-3x)+2=8(4-3x)+18, what is the value of 4-3x?

A.

-16

B.

-4

C.

4

D.

16

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

Hard-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. 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. The value of 4-3x can be found by isolating this expression in the given equation. Subtracting 2 from both sides of the given equation yields 94-3x=84-3x+16. Subtracting 84-3x from both sides of this equation yields 94-3x-84-3x=16, which gives 14-3x=16, or 4-3x=16. Therefore, the value of 4-3x 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 4-3x.

Choice C is incorrect and may result from conceptual or calculation errors.