(5-2i)-7=x-(3+yi)

Solution for (5-2i)-7=x-(3+yi) equation:

Simplifying
(5 + -2i) + -7 = x + -1(3 + yi)

Remove parenthesis around (5 + -2i)
5 + -2i + -7 = x + -1(3 + yi)

Reorder the terms:
5 + -7 + -2i = x + -1(3 + yi)

Combine like terms: 5 + -7 = -2
-2 + -2i = x + -1(3 + yi)
-2 + -2i = x + (3 * -1 + iy * -1)
-2 + -2i = x + (-3 + -1iy)

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

Solving
-2 + -2i = -3 + -1iy + x

Solving for variable 'i'.

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

Add 'iy' to each side of the equation.
-2 + -2i + iy = -3 + -1iy + iy + x

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.