x+5x-1=6x-1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

x+5=6

Subtract 5 from both sides of the equation.

x=6-5

Subtract 5 from 6.

x=1

x=1

Exclude the solutions that do not make x+5x-1=6x-1 true.

No solution

Solve for x (x+5)/(x-1)=6/(x-1)