(X-3yi)=5+6i

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


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

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

Solving
X + -3iy = 5 + 6i

Solving for variable 'X'.

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

Add '3iy' to each side of the equation.
X + -3iy + 3iy = 5 + 6i + 3iy

Combine like terms: -3iy + 3iy = 0
X + 0 = 5 + 6i + 3iy
X = 5 + 6i + 3iy

Simplifying
X = 5 + 6i + 3iy

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