(3n+5)=(5n-3)

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Solution for (3n+5)=(5n-3) equation:


Simplifying
(3n + 5) = (5n + -3)

Reorder the terms:
(5 + 3n) = (5n + -3)

Remove parenthesis around (5 + 3n)
5 + 3n = (5n + -3)

Reorder the terms:
5 + 3n = (-3 + 5n)

Remove parenthesis around (-3 + 5n)
5 + 3n = -3 + 5n

Solving
5 + 3n = -3 + 5n

Solving for variable 'n'.

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

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

Combine like terms: 3n + -5n = -2n
5 + -2n = -3 + 5n + -5n

Combine like terms: 5n + -5n = 0
5 + -2n = -3 + 0
5 + -2n = -3

Add '-5' to each side of the equation.
5 + -5 + -2n = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = -3 + -5
-2n = -3 + -5

Combine like terms: -3 + -5 = -8
-2n = -8

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

Simplifying
n = 4

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