The initial equation is:
[tex]3(x-4)-5=x-3[/tex]Now we can distribute the 3 into the parenthesis so:
[tex]3x-12-5=x-3[/tex]Now we move all variable to the left of the equation and the constants to the right so:
[tex]3x-x=-3+12+5[/tex]Finally we simplify so:
[tex]\begin{gathered} 2x=14 \\ x=\frac{14}{2} \\ x=7 \end{gathered}[/tex]So the answer is C) x = 7