(n+1)+(n+2)+(n+3)=60

Solution for (n+1)+(n+2)+(n+3)=60 equation:

Simplifying
(n + 1) + (n + 2) + (n + 3) = 60

Reorder the terms:
(1 + n) + (n + 2) + (n + 3) = 60

Remove parenthesis around (1 + n)
1 + n + (n + 2) + (n + 3) = 60

Reorder the terms:
1 + n + (2 + n) + (n + 3) = 60

Remove parenthesis around (2 + n)
1 + n + 2 + n + (n + 3) = 60

Reorder the terms:
1 + n + 2 + n + (3 + n) = 60

Remove parenthesis around (3 + n)
1 + n + 2 + n + 3 + n = 60

Reorder the terms:
1 + 2 + 3 + n + n + n = 60

Combine like terms: 1 + 2 = 3
3 + 3 + n + n + n = 60

Combine like terms: 3 + 3 = 6
6 + n + n + n = 60

Combine like terms: n + n = 2n
6 + 2n + n = 60

Combine like terms: 2n + n = 3n
6 + 3n = 60

Solving
6 + 3n = 60

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 3n = 60 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 60 + -6
3n = 60 + -6

Combine like terms: 60 + -6 = 54
3n = 54

Divide each side by '3'.
n = 18

Simplifying
n = 18