3(n+1)=n+19

Solution for 3(n+1)=n+19 equation:

Simplifying
3(n + 1) = n + 19

Reorder the terms:
3(1 + n) = n + 19
(1 * 3 + n * 3) = n + 19
(3 + 3n) = n + 19

Reorder the terms:
3 + 3n = 19 + n

Solving
3 + 3n = 19 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
3 + 3n + -1n = 19 + n + -1n

Combine like terms: 3n + -1n = 2n
3 + 2n = 19 + n + -1n

Combine like terms: n + -1n = 0
3 + 2n = 19 + 0
3 + 2n = 19

Add '-3' to each side of the equation.
3 + -3 + 2n = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 19 + -3
2n = 19 + -3

Combine like terms: 19 + -3 = 16
2n = 16

Divide each side by '2'.
n = 8

Simplifying
n = 8