3n+21-n=8n+12+12n

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Solution for 3n+21-n=8n+12+12n equation: 


Simplifying
3n + 21 + -1n = 8n + 12 + 12n

Reorder the terms:
21 + 3n + -1n = 8n + 12 + 12n

Combine like terms: 3n + -1n = 2n
21 + 2n = 8n + 12 + 12n

Reorder the terms:
21 + 2n = 12 + 8n + 12n

Combine like terms: 8n + 12n = 20n
21 + 2n = 12 + 20n

Solving
21 + 2n = 12 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
21 + 2n + -20n = 12 + 20n + -20n

Combine like terms: 2n + -20n = -18n
21 + -18n = 12 + 20n + -20n

Combine like terms: 20n + -20n = 0
21 + -18n = 12 + 0
21 + -18n = 12

Add '-21' to each side of the equation.
21 + -21 + -18n = 12 + -21

Combine like terms: 21 + -21 = 0
0 + -18n = 12 + -21
-18n = 12 + -21

Combine like terms: 12 + -21 = -9
-18n = -9

Divide each side by '-18'.
n = 0.5

Simplifying
n = 0.5

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