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Linear equations in one variable SAT question

Math · Algebra · Medium · Answer it here, explanation included.

If 2 times, open parenthesis, x minus 5, close parenthesis, plus 3 times, open parenthesis, x minus 5, close parenthesis, equals 10, what is the value of x minus 5 ?

ExplanationShow

Choice A is correct. Adding the like terms on the left-hand side of the given equation yields 5 times, open parenthesis, x minus 5, close parenthesis, equals 10. Dividing both sides of this equation by 5 yields x minus 5, equals 2.

Choice B is incorrect and may result from subtracting 5, not dividing by 5, on both sides of the equation 5 times, open parenthesis, x minus 5, close parenthesis, equals 10. Choice C is incorrect. This is the value of x, not the value of x minus 5. Choice D is incorrect. This is the value of x plus 5, not the value of x minus 5.

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