2n+8=5n-2n

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


Simplifying
2n + 8 = 5n + -2n

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

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

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

Combine like terms: 2n + -3n = -1n
8 + -1n = 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = 0

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8

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