(4+2i)-(x+it)=(2x+5i)

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


Simplifying
(4 + 2i) + -1(x + it) = (2x + 5i)

Remove parenthesis around (4 + 2i)
4 + 2i + -1(x + it) = (2x + 5i)

Reorder the terms:
4 + 2i + -1(it + x) = (2x + 5i)
4 + 2i + (it * -1 + x * -1) = (2x + 5i)
4 + 2i + (-1it + -1x) = (2x + 5i)

Reorder the terms:
4 + 2i + -1it + -1x = (5i + 2x)

Remove parenthesis around (5i + 2x)
4 + 2i + -1it + -1x = 5i + 2x

Solving
4 + 2i + -1it + -1x = 5i + 2x

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
4 + 2i + -1it + -5i + -1x = 5i + -5i + 2x

Reorder the terms:
4 + 2i + -5i + -1it + -1x = 5i + -5i + 2x

Combine like terms: 2i + -5i = -3i
4 + -3i + -1it + -1x = 5i + -5i + 2x

Combine like terms: 5i + -5i = 0
4 + -3i + -1it + -1x = 0 + 2x
4 + -3i + -1it + -1x = 2x

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

Reorder the terms:
4 + -4 + -3i + -1it + -1x = -4 + 2x

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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