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

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

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

Reorder the terms:
(ix + 1x) + -3(2 + 2i) = -1(1 + 5i)
(ix + 1x) + -3(2 + 2i) = -1(1 + 5i)
ix + 1x + (2 * -3 + 2i * -3) = -1(1 + 5i)
ix + 1x + (-6 + -6i) = -1(1 + 5i)

Reorder the terms:
-6 + -6i + ix + 1x = -1(1 + 5i)
-6 + -6i + ix + 1x = (1 * -1 + 5i * -1)
-6 + -6i + ix + 1x = (-1 + -5i)

Solving
-6 + -6i + ix + 1x = -1 + -5i

Solving for variable 'i'.

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

Add '5i' to each side of the equation.
-6 + -6i + ix + 5i + 1x = -1 + -5i + 5i

Reorder the terms:
-6 + -6i + 5i + ix + 1x = -1 + -5i + 5i

Combine like terms: -6i + 5i = -1i
-6 + -1i + ix + 1x = -1 + -5i + 5i

Combine like terms: -5i + 5i = 0
-6 + -1i + ix + 1x = -1 + 0
-6 + -1i + ix + 1x = -1

Add '6' to each side of the equation.
-6 + -1i + ix + 6 + 1x = -1 + 6

Reorder the terms:
-6 + 6 + -1i + ix + 1x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -1i + ix + 1x = -1 + 6
-1i + ix + 1x = -1 + 6

Combine like terms: -1 + 6 = 5
-1i + ix + 1x = 5

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

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

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

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

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

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

The solution to this equation could not be determined.