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

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


Simplifying
(2x + i) + (3 + -2yi) = x + 3i

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

Remove parenthesis around (i + 2x)
i + 2x + (3 + -2yi) = x + 3i

Remove parenthesis around (3 + -2iy)
i + 2x + 3 + -2iy = x + 3i

Reorder the terms:
3 + i + -2iy + 2x = x + 3i

Reorder the terms:
3 + i + -2iy + 2x = 3i + x

Solving
3 + i + -2iy + 2x = 3i + x

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 + i + -2iy + -3i + 2x = 3i + -3i + x

Reorder the terms:
3 + i + -3i + -2iy + 2x = 3i + -3i + x

Combine like terms: i + -3i = -2i
3 + -2i + -2iy + 2x = 3i + -3i + x

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

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

Reorder the terms:
3 + -3 + -2i + -2iy + 2x = -3 + x

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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