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

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

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

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

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 2n = 1 + -1 + 2n

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.