Algebra]
would the answer only be b?

Hello,

|x+4|=3x-5
if x+4>=0 then
          |x+4|=x+4
          x+4=3x-5
          2x=9
            x=9/2
else
    x+4<0 : x<-4
    |x+4|=-(x+4)
     -(x+4)=3x-5
    -x-4=3x-5
    4x=1
    x=1/4 : to exclude since x<-4
end if

Only one solution : x=9/2
ANSWER B.