3(j+5)=5(1-j)

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Solution for 3(j+5)=5(1-j) equation: 


Simplifying
3(j + 5) = 5(1 + -1j)

Reorder the terms:
3(5 + j) = 5(1 + -1j)
(5 * 3 + j * 3) = 5(1 + -1j)
(15 + 3j) = 5(1 + -1j)
15 + 3j = (1 * 5 + -1j * 5)
15 + 3j = (5 + -5j)

Solving
15 + 3j = 5 + -5j

Solving for variable 'j'.

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

Add '5j' to each side of the equation.
15 + 3j + 5j = 5 + -5j + 5j

Combine like terms: 3j + 5j = 8j
15 + 8j = 5 + -5j + 5j

Combine like terms: -5j + 5j = 0
15 + 8j = 5 + 0
15 + 8j = 5

Add '-15' to each side of the equation.
15 + -15 + 8j = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 8j = 5 + -15
8j = 5 + -15

Combine like terms: 5 + -15 = -10
8j = -10

Divide each side by '8'.
j = -1.25

Simplifying
j = -1.25

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