6j+(12j+8)=2(7j+9)-12

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Solution for 6j+(12j+8)=2(7j+9)-12 equation:


Simplifying
6j + (12j + 8) = 2(7j + 9) + -12

Reorder the terms:
6j + (8 + 12j) = 2(7j + 9) + -12

Remove parenthesis around (8 + 12j)
6j + 8 + 12j = 2(7j + 9) + -12

Reorder the terms:
8 + 6j + 12j = 2(7j + 9) + -12

Combine like terms: 6j + 12j = 18j
8 + 18j = 2(7j + 9) + -12

Reorder the terms:
8 + 18j = 2(9 + 7j) + -12
8 + 18j = (9 * 2 + 7j * 2) + -12
8 + 18j = (18 + 14j) + -12

Reorder the terms:
8 + 18j = 18 + -12 + 14j

Combine like terms: 18 + -12 = 6
8 + 18j = 6 + 14j

Solving
8 + 18j = 6 + 14j

Solving for variable 'j'.

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

Add '-14j' to each side of the equation.
8 + 18j + -14j = 6 + 14j + -14j

Combine like terms: 18j + -14j = 4j
8 + 4j = 6 + 14j + -14j

Combine like terms: 14j + -14j = 0
8 + 4j = 6 + 0
8 + 4j = 6

Add '-8' to each side of the equation.
8 + -8 + 4j = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 4j = 6 + -8
4j = 6 + -8

Combine like terms: 6 + -8 = -2
4j = -2

Divide each side by '4'.
j = -0.5

Simplifying
j = -0.5

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