3n-6=5n+2

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Solution for 3n-6=5n+2 equation:


Simplifying
3n + -6 = 5n + 2

Reorder the terms:
-6 + 3n = 5n + 2

Reorder the terms:
-6 + 3n = 2 + 5n

Solving
-6 + 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.
-6 + 3n + -5n = 2 + 5n + -5n

Combine like terms: 3n + -5n = -2n
-6 + -2n = 2 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + -2n = 2 + 0
-6 + -2n = 2

Add '6' to each side of the equation.
-6 + 6 + -2n = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = 2 + 6
-2n = 2 + 6

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

Divide each side by '-2'.
n = -4

Simplifying
n = -4

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