In order to solve the equation, we should do:
[tex]\begin{gathered} -3+4x=9 \\ -3+4x+3=9+3 \\ 4x=12 \\ x=\frac{12}{4} \\ x=3 \end{gathered}[/tex]Then, in the step to isolate the variable term (4x), we should add 3 to both sides of the equality (see step 2).
Answer: C: 3.