3 x + 5 ( x + 4 ) = 76 What value of x is the solution to the

Question

3 x + 5 ( x + 4 ) = 76 What value of x is the solution to the given equation?

Accepted Answer

Choice A is correct. Applying the distributive property on the left-hand side of the given equation yields 3 x + 5 x + 20 = 76 , or 8 x + 20 = 76 . Subtracting 20 from each side of this equation yields 8 x = 56 . Dividing each side of this equation by 8 yields x = 7 . Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This is the solution to the equation x + 4 = 76 , not 3 x + 5 x + 4 = 76 .

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