3n+8=5n+2

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Solution for 3n+8=5n+2 equation: 


Simplifying
3n + 8 = 5n + 2

Reorder the terms:
8 + 3n = 5n + 2

Reorder the terms:
8 + 3n = 2 + 5n

Solving
8 + 3n = 2 + 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 + 3n + -5n = 2 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
8 + -2n = 2 + 0
8 + -2n = 2

Add '-8' to each side of the equation.
8 + -8 + -2n = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -2n = 2 + -8
-2n = 2 + -8

Combine like terms: 2 + -8 = -6
-2n = -6

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

Simplifying
n = 3

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