kx-x-1=0

Solution for kx-x-1=0 equation:

Simplifying
kx + -1x + -1 = 0

Reorder the terms:
-1 + kx + -1x = 0

Solving
-1 + kx + -1x = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + kx + 1 + -1x = 0 + 1

Reorder the terms:
-1 + 1 + kx + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + kx + -1x = 0 + 1
kx + -1x = 0 + 1

Combine like terms: 0 + 1 = 1
kx + -1x = 1

Add 'x' to each side of the equation.
kx + -1x + x = 1 + x

Combine like terms: -1x + x = 0
kx + 0 = 1 + x
kx = 1 + x

Divide each side by 'x'.
k = x-1 + 1

Simplifying
k = x-1 + 1

Reorder the terms:
k = 1 + x-1