6(-3j+1)=5(-2j-2)

Solution for 6(-3j+1)=5(-2j-2) equation:

Simplifying
6(-3j + 1) = 5(-2j + -2)

Reorder the terms:
6(1 + -3j) = 5(-2j + -2)
(1 * 6 + -3j * 6) = 5(-2j + -2)
(6 + -18j) = 5(-2j + -2)

Reorder the terms:
6 + -18j = 5(-2 + -2j)
6 + -18j = (-2 * 5 + -2j * 5)
6 + -18j = (-10 + -10j)

Solving
6 + -18j = -10 + -10j

Solving for variable 'j'.

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

Add '10j' to each side of the equation.
6 + -18j + 10j = -10 + -10j + 10j

Combine like terms: -18j + 10j = -8j
6 + -8j = -10 + -10j + 10j

Combine like terms: -10j + 10j = 0
6 + -8j = -10 + 0
6 + -8j = -10

Add '-6' to each side of the equation.
6 + -6 + -8j = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8j = -10 + -6
-8j = -10 + -6

Combine like terms: -10 + -6 = -16
-8j = -16

Divide each side by '-8'.
j = 2

Simplifying
j = 2