12(n+1)+n=(n+2)

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Solution for 12(n+1)+n=(n+2) equation: 


Simplifying
12(n + 1) + n = (n + 2)

Reorder the terms:
12(1 + n) + n = (n + 2)
(1 * 12 + n * 12) + n = (n + 2)
(12 + 12n) + n = (n + 2)

Combine like terms: 12n + n = 13n
12 + 13n = (n + 2)

Reorder the terms:
12 + 13n = (2 + n)

Remove parenthesis around (2 + n)
12 + 13n = 2 + n

Solving
12 + 13n = 2 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + 13n + -1n = 2 + n + -1n

Combine like terms: 13n + -1n = 12n
12 + 12n = 2 + n + -1n

Combine like terms: n + -1n = 0
12 + 12n = 2 + 0
12 + 12n = 2

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

Combine like terms: 12 + -12 = 0
0 + 12n = 2 + -12
12n = 2 + -12

Combine like terms: 2 + -12 = -10
12n = -10

Divide each side by '12'.
n = -0.8333333333

Simplifying
n = -0.8333333333

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