10n-5=21-3n

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Solution for 10n-5=21-3n equation:


Simplifying
10n + -5 = 21 + -3n

Reorder the terms:
-5 + 10n = 21 + -3n

Solving
-5 + 10n = 21 + -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.
-5 + 10n + 3n = 21 + -3n + 3n

Combine like terms: 10n + 3n = 13n
-5 + 13n = 21 + -3n + 3n

Combine like terms: -3n + 3n = 0
-5 + 13n = 21 + 0
-5 + 13n = 21

Add '5' to each side of the equation.
-5 + 5 + 13n = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 13n = 21 + 5
13n = 21 + 5

Combine like terms: 21 + 5 = 26
13n = 26

Divide each side by '13'.
n = 2

Simplifying
n = 2

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