2(j+11)=-5(10-2j)

Solution for 2(j+11)=-5(10-2j) equation:

Simplifying
2(j + 11) = -5(10 + -2j)

Reorder the terms:
2(11 + j) = -5(10 + -2j)
(11 * 2 + j * 2) = -5(10 + -2j)
(22 + 2j) = -5(10 + -2j)
22 + 2j = (10 * -5 + -2j * -5)
22 + 2j = (-50 + 10j)

Solving
22 + 2j = -50 + 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.
22 + 2j + -10j = -50 + 10j + -10j

Combine like terms: 2j + -10j = -8j
22 + -8j = -50 + 10j + -10j

Combine like terms: 10j + -10j = 0
22 + -8j = -50 + 0
22 + -8j = -50

Add '-22' to each side of the equation.
22 + -22 + -8j = -50 + -22

Combine like terms: 22 + -22 = 0
0 + -8j = -50 + -22
-8j = -50 + -22

Combine like terms: -50 + -22 = -72
-8j = -72

Divide each side by '-8'.
j = 9

Simplifying
j = 9