2(n+2)+3n=2(n+1)+1

Solution for 2(n+2)+3n=2(n+1)+1 equation:

Simplifying
2(n + 2) + 3n = 2(n + 1) + 1

Reorder the terms:
2(2 + n) + 3n = 2(n + 1) + 1
(2 * 2 + n * 2) + 3n = 2(n + 1) + 1
(4 + 2n) + 3n = 2(n + 1) + 1

Combine like terms: 2n + 3n = 5n
4 + 5n = 2(n + 1) + 1

Reorder the terms:
4 + 5n = 2(1 + n) + 1
4 + 5n = (1 * 2 + n * 2) + 1
4 + 5n = (2 + 2n) + 1

Reorder the terms:
4 + 5n = 2 + 1 + 2n

Combine like terms: 2 + 1 = 3
4 + 5n = 3 + 2n

Solving
4 + 5n = 3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
4 + 5n + -2n = 3 + 2n + -2n

Combine like terms: 5n + -2n = 3n
4 + 3n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + 3n = 3 + 0
4 + 3n = 3

Add '-4' to each side of the equation.
4 + -4 + 3n = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 3 + -4
3n = 3 + -4

Combine like terms: 3 + -4 = -1
3n = -1

Divide each side by '3'.
n = -0.3333333333

Simplifying
n = -0.3333333333