(3-2i)x+4i=(2+i)x+3

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


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

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

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

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

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

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

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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