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

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

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

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

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

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

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

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

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

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

Combine like terms: 2 + -2 = 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.