3ix+4-5i=(1+i)x+2i

Solution for 3ix+4-5i=(1+i)x+2i equation:

Simplifying
3ix + 4 + -5i = (1 + i) * x + 2i

Reorder the terms:
4 + -5i + 3ix = (1 + i) * x + 2i

Reorder the terms for easier multiplication:
4 + -5i + 3ix = x(1 + i) + 2i
4 + -5i + 3ix = (1 * x + i * x) + 2i

Reorder the terms:
4 + -5i + 3ix = (ix + 1x) + 2i
4 + -5i + 3ix = (ix + 1x) + 2i

Reorder the terms:
4 + -5i + 3ix = 2i + ix + 1x

Solving
4 + -5i + 3ix = 2i + ix + 1x

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
4 + -5i + -2i + 3ix = 2i + ix + -2i + 1x

Combine like terms: -5i + -2i = -7i
4 + -7i + 3ix = 2i + ix + -2i + 1x

Reorder the terms:
4 + -7i + 3ix = 2i + -2i + ix + 1x

Combine like terms: 2i + -2i = 0
4 + -7i + 3ix = 0 + ix + 1x
4 + -7i + 3ix = ix + 1x

Add '-1ix' to each side of the equation.
4 + -7i + 3ix + -1ix = ix + -1ix + 1x

Combine like terms: 3ix + -1ix = 2ix
4 + -7i + 2ix = ix + -1ix + 1x

Combine like terms: ix + -1ix = 0
4 + -7i + 2ix = 0 + 1x
4 + -7i + 2ix = 1x

Add '-4' to each side of the equation.
4 + -7i + -4 + 2ix = -4 + 1x

Reorder the terms:
4 + -4 + -7i + 2ix = -4 + 1x

Combine like terms: 4 + -4 = 0
0 + -7i + 2ix = -4 + 1x
-7i + 2ix = -4 + 1x

Reorder the terms:
4 + -7i + 2ix + -1x = -4 + 1x + 4 + -1x

Reorder the terms:
4 + -7i + 2ix + -1x = -4 + 4 + 1x + -1x

Combine like terms: -4 + 4 = 0
4 + -7i + 2ix + -1x = 0 + 1x + -1x
4 + -7i + 2ix + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -7i + 2ix + -1x = 0

The solution to this equation could not be determined.