Answer:
[tex]\large\boxed{x=\dfrac{127}{11}}[/tex]
Step-by-step explanation:
[tex]3x+27=12+14x-112\\\\3x+27=14x+(12-112)\\\\3x+27=14x-100\qquad\text{subtract 27 from both sides}\\\\3x+27-27=14x-100-27\\\\3x=14x-127\qquad\text{subtract }\ 14x\ \text{from both sides}\\\\3x-14x=12x-12x-127\\\\-11x=-127\qquad\text{divide both sides by (-11)}\\\\\dfrac{-11x}{-11}=\dfrac{-127}{-11}\\\\x=\dfrac{127}{11}[/tex]