(2n+15)=(3n-5)

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Solution for (2n+15)=(3n-5) equation:


Simplifying
(2n + 15) = (3n + -5)

Reorder the terms:
(15 + 2n) = (3n + -5)

Remove parenthesis around (15 + 2n)
15 + 2n = (3n + -5)

Reorder the terms:
15 + 2n = (-5 + 3n)

Remove parenthesis around (-5 + 3n)
15 + 2n = -5 + 3n

Solving
15 + 2n = -5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
15 + 2n + -3n = -5 + 3n + -3n

Combine like terms: 2n + -3n = -1n
15 + -1n = -5 + 3n + -3n

Combine like terms: 3n + -3n = 0
15 + -1n = -5 + 0
15 + -1n = -5

Add '-15' to each side of the equation.
15 + -15 + -1n = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = -5 + -15
-1n = -5 + -15

Combine like terms: -5 + -15 = -20
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20

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