/x+1=x-5

If the equation is x + 1 = x - 5:

• Subtract x from both sides: 1 = -5
• This is false, so there is no solution.

The equation has an empty solution set (no value of x satisfies it).

If you meant something else (e.g., / (x+1) = x - 5 or (x+1)/x = -5), please clarify with parentheses.