(2x-yi)-(2+5i)=(6+8i)

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Solution for (2x-yi)-(2+5i)=(6+8i) equation: 


Simplifying
(2x + -1yi) + -1(2 + 5i) = (6 + 8i)

Reorder the terms:
(-1iy + 2x) + -1(2 + 5i) = (6 + 8i)

Remove parenthesis around (-1iy + 2x)
-1iy + 2x + -1(2 + 5i) = (6 + 8i)
-1iy + 2x + (2 * -1 + 5i * -1) = (6 + 8i)
-1iy + 2x + (-2 + -5i) = (6 + 8i)

Reorder the terms:
-2 + -5i + -1iy + 2x = (6 + 8i)

Remove parenthesis around (6 + 8i)
-2 + -5i + -1iy + 2x = 6 + 8i

Solving
-2 + -5i + -1iy + 2x = 6 + 8i

Solving for variable 'i'.

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

Add '-8i' to each side of the equation.
-2 + -5i + -1iy + -8i + 2x = 6 + 8i + -8i

Reorder the terms:
-2 + -5i + -8i + -1iy + 2x = 6 + 8i + -8i

Combine like terms: -5i + -8i = -13i
-2 + -13i + -1iy + 2x = 6 + 8i + -8i

Combine like terms: 8i + -8i = 0
-2 + -13i + -1iy + 2x = 6 + 0
-2 + -13i + -1iy + 2x = 6

Add '2' to each side of the equation.
-2 + -13i + -1iy + 2 + 2x = 6 + 2

Reorder the terms:
-2 + 2 + -13i + -1iy + 2x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -13i + -1iy + 2x = 6 + 2
-13i + -1iy + 2x = 6 + 2

Combine like terms: 6 + 2 = 8
-13i + -1iy + 2x = 8

Add '-2x' to each side of the equation.
-13i + -1iy + 2x + -2x = 8 + -2x

Combine like terms: 2x + -2x = 0
-13i + -1iy + 0 = 8 + -2x
-13i + -1iy = 8 + -2x

Reorder the terms:
-8 + -13i + -1iy + 2x = 8 + -2x + -8 + 2x

Reorder the terms:
-8 + -13i + -1iy + 2x = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-8 + -13i + -1iy + 2x = 0 + -2x + 2x
-8 + -13i + -1iy + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + -13i + -1iy + 2x = 0

The solution to this equation could not be determined.

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