Answer :

The given equation is

[tex]3x-4=5[/tex]

Adding 4 on both sides, we get

[tex]3x-4+4=5+4[/tex]

The given equation is equivalent to option B

Consider

[tex]3x-4+4=5+4[/tex]

Solve

[tex]3x=9[/tex]

The given equation is equivalent to option A

Consider

[tex]3x=9[/tex]

Dividing by 3 , we get

[tex]\frac{3x}{3}=\frac{9}{3}[/tex][tex]x=3[/tex]

The given equation is not equivalent to option D.

Options C and E are also not equivalent to the given equation.

Hence the correct options are A and B.