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

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


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

Reorder the terms:
(2 + j) = (5j + -6)

Remove parenthesis around (2 + j)
2 + j = (5j + -6)

Reorder the terms:
2 + j = (-6 + 5j)

Remove parenthesis around (-6 + 5j)
2 + j = -6 + 5j

Solving
2 + j = -6 + 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.
2 + j + -5j = -6 + 5j + -5j

Combine like terms: j + -5j = -4j
2 + -4j = -6 + 5j + -5j

Combine like terms: 5j + -5j = 0
2 + -4j = -6 + 0
2 + -4j = -6

Add '-2' to each side of the equation.
2 + -2 + -4j = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4j = -6 + -2
-4j = -6 + -2

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

Divide each side by '-4'.
j = 2

Simplifying
j = 2

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