x=((-4+5i)-(3-9i))+(8-9i)

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Solution for x=((-4+5i)-(3-9i))+(8-9i) equation: 


Simplifying
x = ((-4 + 5i) + -1(3 + -9i)) + (8 + -9i)

Remove parenthesis around (-4 + 5i)
x = (-4 + 5i + -1(3 + -9i)) + (8 + -9i)
x = (-4 + 5i + (3 * -1 + -9i * -1)) + (8 + -9i)
x = (-4 + 5i + (-3 + 9i)) + (8 + -9i)

Reorder the terms:
x = (-4 + -3 + 5i + 9i) + (8 + -9i)

Combine like terms: -4 + -3 = -7
x = (-7 + 5i + 9i) + (8 + -9i)

Combine like terms: 5i + 9i = 14i
x = (-7 + 14i) + (8 + -9i)

Remove parenthesis around (-7 + 14i)
x = -7 + 14i + (8 + -9i)

Remove parenthesis around (8 + -9i)
x = -7 + 14i + 8 + -9i

Reorder the terms:
x = -7 + 8 + 14i + -9i

Combine like terms: -7 + 8 = 1
x = 1 + 14i + -9i

Combine like terms: 14i + -9i = 5i
x = 1 + 5i

Solving
x = 1 + 5i

Solving for variable 'x'.

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

Simplifying
x = 1 + 5i

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