Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]\displaystyle 11x+12=16x-13\\\\11x+12-11x=16x-13-11x\\\\12=5x-13\\\\12+13=5x-13+13\\\\25=5x\\\\\frac{25}{5}=\frac{5x}{5}\\ \\ 5=x\\\\x=5[/tex]