2n-3=5n+12

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Solution for 2n-3=5n+12 equation: 


Simplifying
2n + -3 = 5n + 12

Reorder the terms:
-3 + 2n = 5n + 12

Reorder the terms:
-3 + 2n = 12 + 5n

Solving
-3 + 2n = 12 + 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.
-3 + 2n + -5n = 12 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-3 + -3n = 12 + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + -3n = 12 + 0
-3 + -3n = 12

Add '3' to each side of the equation.
-3 + 3 + -3n = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = 12 + 3
-3n = 12 + 3

Combine like terms: 12 + 3 = 15
-3n = 15

Divide each side by '-3'.
n = -5

Simplifying
n = -5

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