X+4i-2=2x+2yi

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Solution for X+4i-2=2x+2yi equation:


Simplifying
X + 4i + -2 = 2x + 2yi

Reorder the terms:
-2 + X + 4i = 2x + 2yi

Reorder the terms:
-2 + X + 4i = 2iy + 2x

Solving
-2 + X + 4i = 2iy + 2x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + 2 + 4i = 2iy + 2 + 2x

Reorder the terms:
-2 + 2 + X + 4i = 2iy + 2 + 2x

Combine like terms: -2 + 2 = 0
0 + X + 4i = 2iy + 2 + 2x
X + 4i = 2iy + 2 + 2x

Reorder the terms:
X + 4i = 2 + 2iy + 2x

Add '-4i' to each side of the equation.
X + 4i + -4i = 2 + 2iy + -4i + 2x

Combine like terms: 4i + -4i = 0
X + 0 = 2 + 2iy + -4i + 2x
X = 2 + 2iy + -4i + 2x

Reorder the terms:
X = 2 + -4i + 2iy + 2x

Simplifying
X = 2 + -4i + 2iy + 2x

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