5n-9=3n+5

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Solution for 5n-9=3n+5 equation:


Simplifying
5n + -9 = 3n + 5

Reorder the terms:
-9 + 5n = 3n + 5

Reorder the terms:
-9 + 5n = 5 + 3n

Solving
-9 + 5n = 5 + 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.
-9 + 5n + -3n = 5 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-9 + 2n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-9 + 2n = 5 + 0
-9 + 2n = 5

Add '9' to each side of the equation.
-9 + 9 + 2n = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 2n = 5 + 9
2n = 5 + 9

Combine like terms: 5 + 9 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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