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

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

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

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

Combine like terms: 5 + 1 = 6
6 + -1n = 2(n + 2)

Reorder the terms:
6 + -1n = 2(2 + n)
6 + -1n = (2 * 2 + n * 2)
6 + -1n = (4 + 2n)

Solving
6 + -1n = 4 + 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.
6 + -1n + -2n = 4 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
6 + -3n = 4 + 0
6 + -3n = 4

Add '-6' to each side of the equation.
6 + -6 + -3n = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = 4 + -6
-3n = 4 + -6

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

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667