2[j+11]=-5[10-2j]

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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

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