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Algebra / Linear equations in one variable Difficulty: Medium

If 4 x minus one half, equals negative 5, what is the value of 8 x minus 1 ?

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Explanation

Choice D is correct. Multiplying the given equation by 2 on each side yields 2 times, open parenthesis, 4 x minus one half, close parenthesis, equals, 2 times negative 5. Applying the distributive property, this equation can be rewritten as 2 times 4 x, minus, 2 times one half, equals, 2 times negative 5, or 8 x minus 1, equals negative 10.

Choices A, B, and C are incorrect and may result from calculation errors in solving the given equation for x and then substituting that value of x in the expression 8 x minus 1.