He goodmorning i need with some questions so i can finish my work early since i want to have time to do stuff later. try to will be appreciated and will earn points if you want

The answer you chosen is correct. B is no solution. This is because you can't solve 0= - 8. That is why B is no Solution.

1.)
4(x+3)+2x = 6(x+2)
4x+12+2x=6x+12
6x+12 = 6x+12

Which is true for every value of x(infinitely many solutions)

2.)
5+2(2x+3)=x+3(x+1)
5+4x+6=4x+3
11=3

which is not true. Therefore, B has no solutions.

3.)
5(x+3)+x=4(x+3)+3
5x+15+x=4x+12+3
6x-4x=15-15
2x=0
x=0
It has only one solution which is zero.

4.)
4+6(2+x)=2(3x+8)
4+12+6x=6x+16
16=16
which is true
This one has infinitely many solutions.

Therefore B is your answer.