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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
Which of the following is a solution to the given equation?
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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.