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

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

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

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

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

Reorder the terms:
1 + 2n = 3(2 + n) + -2(n + 1)
1 + 2n = (2 * 3 + n * 3) + -2(n + 1)
1 + 2n = (6 + 3n) + -2(n + 1)

Reorder the terms:
1 + 2n = 6 + 3n + -2(1 + n)
1 + 2n = 6 + 3n + (1 * -2 + n * -2)
1 + 2n = 6 + 3n + (-2 + -2n)

Reorder the terms:
1 + 2n = 6 + -2 + 3n + -2n

Combine like terms: 6 + -2 = 4
1 + 2n = 4 + 3n + -2n

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

Solving
1 + 2n = 4 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
1 + 2n + -1n = 4 + 1n + -1n

Combine like terms: 2n + -1n = 1n
1 + 1n = 4 + 1n + -1n

Combine like terms: 1n + -1n = 0
1 + 1n = 4 + 0
1 + 1n = 4

Add '-1' to each side of the equation.
1 + -1 + 1n = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 1n = 4 + -1
1n = 4 + -1

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

Divide each side by '1'.
n = 3

Simplifying
n = 3