10n-5=6n+17

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Solution for 10n-5=6n+17 equation:


Simplifying
10n + -5 = 6n + 17

Reorder the terms:
-5 + 10n = 6n + 17

Reorder the terms:
-5 + 10n = 17 + 6n

Solving
-5 + 10n = 17 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
-5 + 10n + -6n = 17 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-5 + 4n = 17 + 6n + -6n

Combine like terms: 6n + -6n = 0
-5 + 4n = 17 + 0
-5 + 4n = 17

Add '5' to each side of the equation.
-5 + 5 + 4n = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 4n = 17 + 5
4n = 17 + 5

Combine like terms: 17 + 5 = 22
4n = 22

Divide each side by '4'.
n = 5.5

Simplifying
n = 5.5

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