Answer:
[tex]\large\boxed{x=6}[/tex]
Step-by-step explanation:
[tex]4x+1=5x+(-5)\\\\4x+1=5x-5\qquad\text{subtract 1 from both sides}\\\\4x+1-1=5x-5-1\\\\4x=5x-6\qquad\text{subtract 5x from both sides}\\\\4x-5x=5x-5x-6\\\\-x=-6\qquad\text{change the signs}\\\\x=6[/tex]
