2(n+1)+1=(2n-5)+(n-2)

Solution for 2(n+1)+1=(2n-5)+(n-2) equation:

Simplifying
2(n + 1) + 1 = (2n + -5) + (n + -2)

Reorder the terms:
2(1 + n) + 1 = (2n + -5) + (n + -2)
(1 * 2 + n * 2) + 1 = (2n + -5) + (n + -2)
(2 + 2n) + 1 = (2n + -5) + (n + -2)

Reorder the terms:
2 + 1 + 2n = (2n + -5) + (n + -2)

Combine like terms: 2 + 1 = 3
3 + 2n = (2n + -5) + (n + -2)

Reorder the terms:
3 + 2n = (-5 + 2n) + (n + -2)

Remove parenthesis around (-5 + 2n)
3 + 2n = -5 + 2n + (n + -2)

Reorder the terms:
3 + 2n = -5 + 2n + (-2 + n)

Remove parenthesis around (-2 + n)
3 + 2n = -5 + 2n + -2 + n

Reorder the terms:
3 + 2n = -5 + -2 + 2n + n

Combine like terms: -5 + -2 = -7
3 + 2n = -7 + 2n + n

Combine like terms: 2n + n = 3n
3 + 2n = -7 + 3n

Solving
3 + 2n = -7 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
3 + 2n + -3n = -7 + 3n + -3n

Combine like terms: 2n + -3n = -1n
3 + -1n = -7 + 3n + -3n

Combine like terms: 3n + -3n = 0
3 + -1n = -7 + 0
3 + -1n = -7

Add '-3' to each side of the equation.
3 + -3 + -1n = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = -7 + -3
-1n = -7 + -3

Combine like terms: -7 + -3 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10