5n-19=3n+5

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Solution for 5n-19=3n+5 equation:


Simplifying
5n + -19 = 3n + 5

Reorder the terms:
-19 + 5n = 3n + 5

Reorder the terms:
-19 + 5n = 5 + 3n

Solving
-19 + 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.
-19 + 5n + -3n = 5 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-19 + 2n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-19 + 2n = 5 + 0
-19 + 2n = 5

Add '19' to each side of the equation.
-19 + 19 + 2n = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 2n = 5 + 19
2n = 5 + 19

Combine like terms: 5 + 19 = 24
2n = 24

Divide each side by '2'.
n = 12

Simplifying
n = 12

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