x+1+(2y-5)i=8-3i

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Solution for x+1+(2y-5)i=8-3i equation:


Simplifying
x + 1 + (2y + -5) * i = 8 + -3i

Reorder the terms:
x + 1 + (-5 + 2y) * i = 8 + -3i

Reorder the terms for easier multiplication:
x + 1 + i(-5 + 2y) = 8 + -3i
x + 1 + (-5 * i + 2y * i) = 8 + -3i
x + 1 + (-5i + 2iy) = 8 + -3i

Reorder the terms:
1 + -5i + 2iy + x = 8 + -3i

Solving
1 + -5i + 2iy + x = 8 + -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.
1 + -5i + 2iy + 3i + x = 8 + -3i + 3i

Reorder the terms:
1 + -5i + 3i + 2iy + x = 8 + -3i + 3i

Combine like terms: -5i + 3i = -2i
1 + -2i + 2iy + x = 8 + -3i + 3i

Combine like terms: -3i + 3i = 0
1 + -2i + 2iy + x = 8 + 0
1 + -2i + 2iy + x = 8

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

Reorder the terms:
1 + -1 + -2i + 2iy + x = 8 + -1

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

Combine like terms: 8 + -1 = 7
-2i + 2iy + x = 7

Add '-1x' to each side of the equation.
-2i + 2iy + x + -1x = 7 + -1x

Combine like terms: x + -1x = 0
-2i + 2iy + 0 = 7 + -1x
-2i + 2iy = 7 + -1x

Reorder the terms:
-7 + -2i + 2iy + x = 7 + -1x + -7 + x

Reorder the terms:
-7 + -2i + 2iy + x = 7 + -7 + -1x + x

Combine like terms: 7 + -7 = 0
-7 + -2i + 2iy + x = 0 + -1x + x
-7 + -2i + 2iy + x = -1x + x

Combine like terms: -1x + x = 0
-7 + -2i + 2iy + x = 0

The solution to this equation could not be determined.

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