Question if-wha

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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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 ?

A.

2

B.

5

C.

7

D.

12

If , what is the value of ?

Hard-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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.