n+(n+1)+(n+2)=(n+2)+22

Solution for n+(n+1)+(n+2)=(n+2)+22 equation:

Simplifying
n + (n + 1) + (n + 2) = (n + 2) + 22

Reorder the terms:
n + (1 + n) + (n + 2) = (n + 2) + 22

Remove parenthesis around (1 + n)
n + 1 + n + (n + 2) = (n + 2) + 22

Reorder the terms:
n + 1 + n + (2 + n) = (n + 2) + 22

Remove parenthesis around (2 + n)
n + 1 + n + 2 + n = (n + 2) + 22

Reorder the terms:
1 + 2 + n + n + n = (n + 2) + 22

Combine like terms: 1 + 2 = 3
3 + n + n + n = (n + 2) + 22

Combine like terms: n + n = 2n
3 + 2n + n = (n + 2) + 22

Combine like terms: 2n + n = 3n
3 + 3n = (n + 2) + 22

Reorder the terms:
3 + 3n = (2 + n) + 22

Remove parenthesis around (2 + n)
3 + 3n = 2 + n + 22

Reorder the terms:
3 + 3n = 2 + 22 + n

Combine like terms: 2 + 22 = 24
3 + 3n = 24 + n

Solving
3 + 3n = 24 + 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 = 24 + n + -1n

Combine like terms: 3n + -1n = 2n
3 + 2n = 24 + n + -1n

Combine like terms: n + -1n = 0
3 + 2n = 24 + 0
3 + 2n = 24

Add '-3' to each side of the equation.
3 + -3 + 2n = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 24 + -3
2n = 24 + -3

Combine like terms: 24 + -3 = 21
2n = 21

Divide each side by '2'.
n = 10.5

Simplifying
n = 10.5