If , what is the value of x ?
Correct answer: C
Explanation
Choice C is correct. To make it easier to add like terms on the left-hand side of the given equation, both sides of the equation can be multiplied by 6, which is the lowest common denominator of and
. This yields
, which can be rewritten as
. Dividing both sides of this equation by 2 yields
.
Choice A is incorrect and may result from subtracting the denominators instead of numerators with common denominators to get , rather than
, on the left-hand side of the equation. Choice B is incorrect and may result from rewriting the given equation as
instead of
. Choice D is incorrect and may result from conceptual or computational errors.
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