2n+109=12n-1

Solution for 2n+109=12n-1 equation:

Simplifying
2n + 109 = 12n + -1

Reorder the terms:
109 + 2n = 12n + -1

Reorder the terms:
109 + 2n = -1 + 12n

Solving
109 + 2n = -1 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
109 + 2n + -12n = -1 + 12n + -12n

Combine like terms: 2n + -12n = -10n
109 + -10n = -1 + 12n + -12n

Combine like terms: 12n + -12n = 0
109 + -10n = -1 + 0
109 + -10n = -1

Add '-109' to each side of the equation.
109 + -109 + -10n = -1 + -109

Combine like terms: 109 + -109 = 0
0 + -10n = -1 + -109
-10n = -1 + -109

Combine like terms: -1 + -109 = -110
-10n = -110

Divide each side by '-10'.
n = 11

Simplifying
n = 11