(1-i)x-1=i

Solution for (1-i)x-1=i equation:

Simplifying
(1 + -1i) * x + -1 = i

Reorder the terms for easier multiplication:
x(1 + -1i) + -1 = i
(1 * x + -1i * x) + -1 = i

Reorder the terms:
(-1ix + 1x) + -1 = i
(-1ix + 1x) + -1 = i

Reorder the terms:
-1 + -1ix + 1x = i

Solving
-1 + -1ix + 1x = i

Solving for variable 'i'.

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

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

Reorder the terms:
-1 + -1i + -1ix + 1x = i + -1i

Combine like terms: i + -1i = 0
-1 + -1i + -1ix + 1x = 0

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

Reorder the terms:
-1 + 1 + -1i + -1ix + 1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1i + -1ix + 1x = 0 + 1
-1i + -1ix + 1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1i + -1ix + 1x = 1

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

Combine like terms: 1x + -1x = 0
-1i + -1ix + 0 = 1 + -1x
-1i + -1ix = 1 + -1x

Reorder the terms:
-1 + -1i + -1ix + x = 1 + -1x + -1 + x

Reorder the terms:
-1 + -1i + -1ix + x = 1 + -1 + -1x + x

Combine like terms: 1 + -1 = 0
-1 + -1i + -1ix + x = 0 + -1x + x
-1 + -1i + -1ix + x = -1x + x

Combine like terms: -1x + x = 0
-1 + -1i + -1ix + x = 0

The solution to this equation could not be determined.