10+2(3j-8)=4(3+j)

Solution for 10+2(3j-8)=4(3+j) equation:

Simplifying
10 + 2(3j + -8) = 4(3 + j)

Reorder the terms:
10 + 2(-8 + 3j) = 4(3 + j)
10 + (-8 * 2 + 3j * 2) = 4(3 + j)
10 + (-16 + 6j) = 4(3 + j)

Combine like terms: 10 + -16 = -6
-6 + 6j = 4(3 + j)
-6 + 6j = (3 * 4 + j * 4)
-6 + 6j = (12 + 4j)

Solving
-6 + 6j = 12 + 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.
-6 + 6j + -4j = 12 + 4j + -4j

Combine like terms: 6j + -4j = 2j
-6 + 2j = 12 + 4j + -4j

Combine like terms: 4j + -4j = 0
-6 + 2j = 12 + 0
-6 + 2j = 12

Add '6' to each side of the equation.
-6 + 6 + 2j = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 2j = 12 + 6
2j = 12 + 6

Combine like terms: 12 + 6 = 18
2j = 18

Divide each side by '2'.
j = 9

Simplifying
j = 9