Answer :

The given equation is

[tex]4x-3-2x=9+2x-12[/tex]

First, we reduce like terms.

[tex]2x-3=2x-3[/tex]

Then, we add 3 on each side.

[tex]\begin{gathered} 2x-3+3=2x-3+3 \\ 2x=2x \\ 2=2 \end{gathered}[/tex]

Given that this result is unique and true, we deduct that the equation has infinite solutions.

B is the right answer.

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