x-13+(2y+8)i=-2-12i

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Solution for x-13+(2y+8)i=-2-12i equation: 


Simplifying
x + -13 + (2y + 8) * i = -2 + -12i

Reorder the terms:
x + -13 + (8 + 2y) * i = -2 + -12i

Reorder the terms for easier multiplication:
x + -13 + i(8 + 2y) = -2 + -12i
x + -13 + (8 * i + 2y * i) = -2 + -12i
x + -13 + (8i + 2iy) = -2 + -12i

Reorder the terms:
-13 + 8i + 2iy + x = -2 + -12i

Solving
-13 + 8i + 2iy + x = -2 + -12i

Solving for variable 'i'.

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

Add '12i' to each side of the equation.
-13 + 8i + 2iy + 12i + x = -2 + -12i + 12i

Reorder the terms:
-13 + 8i + 12i + 2iy + x = -2 + -12i + 12i

Combine like terms: 8i + 12i = 20i
-13 + 20i + 2iy + x = -2 + -12i + 12i

Combine like terms: -12i + 12i = 0
-13 + 20i + 2iy + x = -2 + 0
-13 + 20i + 2iy + x = -2

Add '13' to each side of the equation.
-13 + 20i + 2iy + 13 + x = -2 + 13

Reorder the terms:
-13 + 13 + 20i + 2iy + x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 20i + 2iy + x = -2 + 13
20i + 2iy + x = -2 + 13

Combine like terms: -2 + 13 = 11
20i + 2iy + x = 11

Add '-1x' to each side of the equation.
20i + 2iy + x + -1x = 11 + -1x

Combine like terms: x + -1x = 0
20i + 2iy + 0 = 11 + -1x
20i + 2iy = 11 + -1x

Reorder the terms:
-11 + 20i + 2iy + x = 11 + -1x + -11 + x

Reorder the terms:
-11 + 20i + 2iy + x = 11 + -11 + -1x + x

Combine like terms: 11 + -11 = 0
-11 + 20i + 2iy + x = 0 + -1x + x
-11 + 20i + 2iy + x = -1x + x

Combine like terms: -1x + x = 0
-11 + 20i + 2iy + x = 0

The solution to this equation could not be determined.

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