2(n+6)=5+3n

Solution for 2(n+6)=5+3n equation:

Simplifying
2(n + 6) = 5 + 3n

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

Solving
12 + 2n = 5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
12 + 2n + -3n = 5 + 3n + -3n

Combine like terms: 2n + -3n = -1n
12 + -1n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
12 + -1n = 5 + 0
12 + -1n = 5

Add '-12' to each side of the equation.
12 + -12 + -1n = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = 5 + -12
-1n = 5 + -12

Combine like terms: 5 + -12 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7