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

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


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

Reorder the terms:
(-2 + x) + (y + 3) = 5i

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

Reorder the terms:
-2 + x + (3 + y) = 5i

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

Reorder the terms:
-2 + 3 + x + y = 5i

Combine like terms: -2 + 3 = 1
1 + x + y = 5i

Solving
1 + x + y = 5i

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + x + -1 + y = -1 + 5i

Reorder the terms:
1 + -1 + x + y = -1 + 5i

Combine like terms: 1 + -1 = 0
0 + x + y = -1 + 5i
x + y = -1 + 5i

Add '-1y' to each side of the equation.
x + y + -1y = -1 + 5i + -1y

Combine like terms: y + -1y = 0
x + 0 = -1 + 5i + -1y
x = -1 + 5i + -1y

Simplifying
x = -1 + 5i + -1y

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