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

Reorder the terms:
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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