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Algebra / Linear equations in one variable Difficulty: Easy

3 x +5 (x+4)=76

What value of x is the solution to the given equation?

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Explanation

Choice A is correct. Applying the distributive property on the left-hand side of the given equation yields 3x+5x+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 3x+5x+4=76.