12+2(n-3)=7+5(2n-1)

Solution for 12+2(n-3)=7+5(2n-1) equation:

Simplifying
12 + 2(n + -3) = 7 + 5(2n + -1)

Reorder the terms:
12 + 2(-3 + n) = 7 + 5(2n + -1)
12 + (-3 * 2 + n * 2) = 7 + 5(2n + -1)
12 + (-6 + 2n) = 7 + 5(2n + -1)

Combine like terms: 12 + -6 = 6
6 + 2n = 7 + 5(2n + -1)

Reorder the terms:
6 + 2n = 7 + 5(-1 + 2n)
6 + 2n = 7 + (-1 * 5 + 2n * 5)
6 + 2n = 7 + (-5 + 10n)

Combine like terms: 7 + -5 = 2
6 + 2n = 2 + 10n

Solving
6 + 2n = 2 + 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 + 2n + -10n = 2 + 10n + -10n

Combine like terms: 2n + -10n = -8n
6 + -8n = 2 + 10n + -10n

Combine like terms: 10n + -10n = 0
6 + -8n = 2 + 0
6 + -8n = 2

Add '-6' to each side of the equation.
6 + -6 + -8n = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8n = 2 + -6
-8n = 2 + -6

Combine like terms: 2 + -6 = -4
-8n = -4

Divide each side by '-8'.
n = 0.5

Simplifying
n = 0.5