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

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

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

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

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

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

Combine like terms: 2 + -1 = 1
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.