(X-5i)=(2+i)+(6-3yi)

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Solution for (X-5i)=(2+i)+(6-3yi) equation:


Simplifying
(X + -5i) = (2 + i) + (6 + -3yi)

Remove parenthesis around (X + -5i)
X + -5i = (2 + i) + (6 + -3yi)

Remove parenthesis around (2 + i)
X + -5i = 2 + i + (6 + -3yi)

Remove parenthesis around (6 + -3iy)
X + -5i = 2 + i + 6 + -3iy

Reorder the terms:
X + -5i = 2 + 6 + i + -3iy

Combine like terms: 2 + 6 = 8
X + -5i = 8 + i + -3iy

Solving
X + -5i = 8 + i + -3iy

Solving for variable 'X'.

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

Add '5i' to each side of the equation.
X + -5i + 5i = 8 + i + 5i + -3iy

Combine like terms: -5i + 5i = 0
X + 0 = 8 + i + 5i + -3iy
X = 8 + i + 5i + -3iy

Combine like terms: i + 5i = 6i
X = 8 + 6i + -3iy

Simplifying
X = 8 + 6i + -3iy

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