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

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

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

Reorder the terms:
6 + 2(-4 + 3j) = 4(1 + j)
6 + (-4 * 2 + 3j * 2) = 4(1 + j)
6 + (-8 + 6j) = 4(1 + j)

Combine like terms: 6 + -8 = -2
-2 + 6j = 4(1 + j)
-2 + 6j = (1 * 4 + j * 4)
-2 + 6j = (4 + 4j)

Solving
-2 + 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.
-2 + 6j + -4j = 4 + 4j + -4j

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

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

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

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

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

Divide each side by '2'.
j = 3

Simplifying
j = 3