3+xi=(x+1)+2i

Solution for 3+xi=(x+1)+2i equation:

Simplifying
3 + xi = (x + 1) + 2i

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

Remove parenthesis around (1 + x)
3 + ix = 1 + x + 2i

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

Solving
3 + ix = 1 + 2i + x

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.
3 + -2i + ix = 1 + 2i + -2i + x

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.