2n+8=3n-2

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


Simplifying
2n + 8 = 3n + -2

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

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

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

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

Combine like terms: 3n + -3n = 0
8 + -1n = -2 + 0
8 + -1n = -2

Add '-8' to each side of the equation.
8 + -8 + -1n = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = -2 + -8
-1n = -2 + -8

Combine like terms: -2 + -8 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10

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