ANSWER
A. -19
EXPLANATION
We want to solve
[tex] - 4(x + 1) - 3 = - 3(x - 4)[/tex]
for x.
Expand the parentheses.
[tex] - 4x - 4- 3 = - 3x + 12[/tex]
[tex] - 4x - 7 = - 3x + 12[/tex]
Group similar terms:
[tex] - 4x + 3x = 12 + 7[/tex]
Simplify
[tex] - x = 19[/tex]
Divide both sides by -1
[tex] x= - 19[/tex]
The correct choice is A.