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

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


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

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

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

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

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

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

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.
5 + -4i + 2i + 2ix = -2i + 3ix + 2i + 2x

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

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

Combine like terms: -2i + 2i = 0
5 + -2i + 2ix = 0 + 3ix + 2x
5 + -2i + 2ix = 3ix + 2x

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

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

Combine like terms: 3ix + -3ix = 0
5 + -2i + -1ix = 0 + 2x
5 + -2i + -1ix = 2x

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

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

Combine like terms: 5 + -5 = 0
0 + -2i + -1ix = -5 + 2x
-2i + -1ix = -5 + 2x

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

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

Combine like terms: -5 + 5 = 0
5 + -2i + -1ix + -2x = 0 + 2x + -2x
5 + -2i + -1ix + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -2i + -1ix + -2x = 0

The solution to this equation could not be determined.

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