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

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


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

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

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

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

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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