Answer: C. 9−|2x−1|=9.
Step-by-step explanation: |x−2|−7+7=7+7 x−2+2=14+2 x=16 x−2+2=−14+2 x=-12
−4|x|+1+−1=−3+−1 −4|x|/−4=−4/−4 |x|=1 or |x|=−1
9−|2x−1|+−9=9+−9 −|2x−1|/−1=0/−1 2x−1+1=0+1 2x/2=1/2 x=1/2
|3−x|=3 −(−x+3)=3 x−3+3=3+3 x=6 (−x+3−3)=3−3 -x/-1=0/-1 x=0
Answer choice A is equal to x=16 or x=−12 which is two solutions not one, Answer choice B is equal to |x|=1 or |x|=−1 because of the absolute value of 1, and Answer choice C is equal to x=1/2 which is the only equation with the only one unique solution, also Answer choice D is equal to x=6 or x=0 which is two solutions not one.
