5n-8=3n+6

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Solution for 5n-8=3n+6 equation:


Simplifying
5n + -8 = 3n + 6

Reorder the terms:
-8 + 5n = 3n + 6

Reorder the terms:
-8 + 5n = 6 + 3n

Solving
-8 + 5n = 6 + 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 + 5n + -3n = 6 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-8 + 2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-8 + 2n = 6 + 0
-8 + 2n = 6

Add '8' to each side of the equation.
-8 + 8 + 2n = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2n = 6 + 8
2n = 6 + 8

Combine like terms: 6 + 8 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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