(8j+2)=(6j-6)

Solution for (8j+2)=(6j-6) equation:

Simplifying
(8j + 2) = (6j + -6)

Reorder the terms:
(2 + 8j) = (6j + -6)

Remove parenthesis around (2 + 8j)
2 + 8j = (6j + -6)

Reorder the terms:
2 + 8j = (-6 + 6j)

Remove parenthesis around (-6 + 6j)
2 + 8j = -6 + 6j

Solving
2 + 8j = -6 + 6j

Solving for variable 'j'.

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

Add '-6j' to each side of the equation.
2 + 8j + -6j = -6 + 6j + -6j

Combine like terms: 8j + -6j = 2j
2 + 2j = -6 + 6j + -6j

Combine like terms: 6j + -6j = 0
2 + 2j = -6 + 0
2 + 2j = -6

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

Combine like terms: 2 + -2 = 0
0 + 2j = -6 + -2
2j = -6 + -2

Combine like terms: -6 + -2 = -8
2j = -8

Divide each side by '2'.
j = -4

Simplifying
j = -4