12n+2(n-3)=1+5(2n-1)

Solution for 12n+2(n-3)=1+5(2n-1) equation:

Simplifying
12n + 2(n + -3) = 1 + 5(2n + -1)

Reorder the terms:
12n + 2(-3 + n) = 1 + 5(2n + -1)
12n + (-3 * 2 + n * 2) = 1 + 5(2n + -1)
12n + (-6 + 2n) = 1 + 5(2n + -1)

Reorder the terms:
-6 + 12n + 2n = 1 + 5(2n + -1)

Combine like terms: 12n + 2n = 14n
-6 + 14n = 1 + 5(2n + -1)

Reorder the terms:
-6 + 14n = 1 + 5(-1 + 2n)
-6 + 14n = 1 + (-1 * 5 + 2n * 5)
-6 + 14n = 1 + (-5 + 10n)

Combine like terms: 1 + -5 = -4
-6 + 14n = -4 + 10n

Solving
-6 + 14n = -4 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-6 + 14n + -10n = -4 + 10n + -10n

Combine like terms: 14n + -10n = 4n
-6 + 4n = -4 + 10n + -10n

Combine like terms: 10n + -10n = 0
-6 + 4n = -4 + 0
-6 + 4n = -4

Add '6' to each side of the equation.
-6 + 6 + 4n = -4 + 6

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

Combine like terms: -4 + 6 = 2
4n = 2

Divide each side by '4'.
n = 0.5

Simplifying
n = 0.5