2n+8=5n+14

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Solution for 2n+8=5n+14 equation:


Simplifying
2n + 8 = 5n + 14

Reorder the terms:
8 + 2n = 5n + 14

Reorder the terms:
8 + 2n = 14 + 5n

Solving
8 + 2n = 14 + 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.
8 + 2n + -5n = 14 + 5n + -5n

Combine like terms: 2n + -5n = -3n
8 + -3n = 14 + 5n + -5n

Combine like terms: 5n + -5n = 0
8 + -3n = 14 + 0
8 + -3n = 14

Add '-8' to each side of the equation.
8 + -8 + -3n = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = 14 + -8
-3n = 14 + -8

Combine like terms: 14 + -8 = 6
-3n = 6

Divide each side by '-3'.
n = -2

Simplifying
n = -2

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