(4+5i)+x=(2-3i)

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Solution for (4+5i)+x=(2-3i) equation:


Simplifying
(4 + 5i) + x = (2 + -3i)

Remove parenthesis around (4 + 5i)
4 + 5i + x = (2 + -3i)

Remove parenthesis around (2 + -3i)
4 + 5i + x = 2 + -3i

Solving
4 + 5i + x = 2 + -3i

Solving for variable 'i'.

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

Add '3i' to each side of the equation.
4 + 5i + 3i + x = 2 + -3i + 3i

Combine like terms: 5i + 3i = 8i
4 + 8i + x = 2 + -3i + 3i

Combine like terms: -3i + 3i = 0
4 + 8i + x = 2 + 0
4 + 8i + x = 2

Add '-4' to each side of the equation.
4 + 8i + -4 + x = 2 + -4

Reorder the terms:
4 + -4 + 8i + x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 8i + x = 2 + -4
8i + x = 2 + -4

Combine like terms: 2 + -4 = -2
8i + x = -2

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

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

Divide each side by '8'.
i = -0.25 + -0.125x

Simplifying
i = -0.25 + -0.125x

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