Which of the following is a solution to the given equation?
Correct answer: A
Explanation
Choice A is correct. Applying the distributive property on the left- and right-hand sides of the given equation yields , or
. Subtracting
from and adding
to both sides of this equation yields
. Subtracting 6 from both sides of this equation and then dividing both sides by 10 yields
.
Choices B, C, and D are incorrect. Substituting 0, , or
for x in the given equation will result in a false statement. If
, the given equation becomes
; if
, the given equation becomes
; and if
, the given equation becomes
. Therefore, the values 0,
, and
aren’t solutions to the given equation.
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