2n-5=-3n+15

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


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

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

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

Solving
-5 + 2n = 15 + -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.
-5 + 2n + 3n = 15 + -3n + 3n

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

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

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

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

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

Divide each side by '5'.
n = 4

Simplifying
n = 4

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