5(2j-4)=3(4j+6)

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Solution for 5(2j-4)=3(4j+6) equation:


Simplifying
5(2j + -4) = 3(4j + 6)

Reorder the terms:
5(-4 + 2j) = 3(4j + 6)
(-4 * 5 + 2j * 5) = 3(4j + 6)
(-20 + 10j) = 3(4j + 6)

Reorder the terms:
-20 + 10j = 3(6 + 4j)
-20 + 10j = (6 * 3 + 4j * 3)
-20 + 10j = (18 + 12j)

Solving
-20 + 10j = 18 + 12j

Solving for variable 'j'.

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

Add '-12j' to each side of the equation.
-20 + 10j + -12j = 18 + 12j + -12j

Combine like terms: 10j + -12j = -2j
-20 + -2j = 18 + 12j + -12j

Combine like terms: 12j + -12j = 0
-20 + -2j = 18 + 0
-20 + -2j = 18

Add '20' to each side of the equation.
-20 + 20 + -2j = 18 + 20

Combine like terms: -20 + 20 = 0
0 + -2j = 18 + 20
-2j = 18 + 20

Combine like terms: 18 + 20 = 38
-2j = 38

Divide each side by '-2'.
j = -19

Simplifying
j = -19

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