6+2(3j+2)=4(1+j)

Solution for 6+2(3j+2)=4(1+j) equation:

Simplifying
6 + 2(3j + 2) = 4(1 + j)

Reorder the terms:
6 + 2(2 + 3j) = 4(1 + j)
6 + (2 * 2 + 3j * 2) = 4(1 + j)
6 + (4 + 6j) = 4(1 + j)

Combine like terms: 6 + 4 = 10
10 + 6j = 4(1 + j)
10 + 6j = (1 * 4 + j * 4)
10 + 6j = (4 + 4j)

Solving
10 + 6j = 4 + 4j

Solving for variable 'j'.

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

Add '-4j' to each side of the equation.
10 + 6j + -4j = 4 + 4j + -4j

Combine like terms: 6j + -4j = 2j
10 + 2j = 4 + 4j + -4j

Combine like terms: 4j + -4j = 0
10 + 2j = 4 + 0
10 + 2j = 4

Add '-10' to each side of the equation.
10 + -10 + 2j = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 2j = 4 + -10
2j = 4 + -10

Combine like terms: 4 + -10 = -6
2j = -6

Divide each side by '2'.
j = -3

Simplifying
j = -3