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

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

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

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

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

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

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

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

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

Solving
2 + 4n = -1 + 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.
2 + 4n + -1n = -1 + 1n + -1n

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

Combine like terms: 1n + -1n = 0
2 + 3n = -1 + 0
2 + 3n = -1

Add '-2' to each side of the equation.
2 + -2 + 3n = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = -1 + -2
3n = -1 + -2

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

Divide each side by '3'.
n = -1

Simplifying
n = -1