n+3(n+12)=5+3(n+7)

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

Simplifying
n + 3(n + 12) = 5 + 3(n + 7)

Reorder the terms:
n + 3(12 + n) = 5 + 3(n + 7)
n + (12 * 3 + n * 3) = 5 + 3(n + 7)
n + (36 + 3n) = 5 + 3(n + 7)

Reorder the terms:
36 + n + 3n = 5 + 3(n + 7)

Combine like terms: n + 3n = 4n
36 + 4n = 5 + 3(n + 7)

Reorder the terms:
36 + 4n = 5 + 3(7 + n)
36 + 4n = 5 + (7 * 3 + n * 3)
36 + 4n = 5 + (21 + 3n)

Combine like terms: 5 + 21 = 26
36 + 4n = 26 + 3n

Solving
36 + 4n = 26 + 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.
36 + 4n + -3n = 26 + 3n + -3n

Combine like terms: 4n + -3n = 1n
36 + 1n = 26 + 3n + -3n

Combine like terms: 3n + -3n = 0
36 + 1n = 26 + 0
36 + 1n = 26

Add '-36' to each side of the equation.
36 + -36 + 1n = 26 + -36

Combine like terms: 36 + -36 = 0
0 + 1n = 26 + -36
1n = 26 + -36

Combine like terms: 26 + -36 = -10
1n = -10

Divide each side by '1'.
n = -10

Simplifying
n = -10