1 4 x + 5 - 1 3 x + 5 = - 7 What value of x is the

Question

1 4 x + 5 - 1 3 x + 5 = - 7 What value of x is the solution to the given equation?

Accepted Answer

Choice C is correct. For the given equation, x + 5 is a factor of both terms on the left-hand side. Therefore, the given equation can be rewritten as 1 4 - 1 3 x + 5 = - 7 , or 3 12 - 4 12 x + 5 = - 7 , which is equivalent to - 1 12 x + 5 = - 7 . Multiplying both sides of this equation by - 12 yields x + 5 = 84 . Subtracting 5 from both sides of this equation yields x = 79 . Choice A is incorrect. This is the value of x for which the left-hand side of the given equation equals 7 12 , not - 7 . Choice B is incorrect. This is the value of x for which the left-hand side of the given equation equals 0 , not - 7 . Choice D is incorrect. This is the value of x for which the left-hand side of the given equation equals - 209 12 , not - 7 .

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