-2j+6=1j-3

Solution for -2j+6=1j-3 equation:

Simplifying
-2j + 6 = 1j + -3

Reorder the terms:
6 + -2j = 1j + -3

Reorder the terms:
6 + -2j = -3 + 1j

Solving
6 + -2j = -3 + 1j

Solving for variable 'j'.

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

Add '-1j' to each side of the equation.
6 + -2j + -1j = -3 + 1j + -1j

Combine like terms: -2j + -1j = -3j
6 + -3j = -3 + 1j + -1j

Combine like terms: 1j + -1j = 0
6 + -3j = -3 + 0
6 + -3j = -3

Add '-6' to each side of the equation.
6 + -6 + -3j = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -3j = -3 + -6
-3j = -3 + -6

Combine like terms: -3 + -6 = -9
-3j = -9

Divide each side by '-3'.
j = 3

Simplifying
j = 3