1-2n+4-2n=2(2-2n)-(n-2)

Solution for 1-2n+4-2n=2(2-2n)-(n-2) equation:

Simplifying
1 + -2n + 4 + -2n = 2(2 + -2n) + -1(n + -2)

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

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

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

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

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

Combine like terms: 4 + 2 = 6
5 + -4n = 6 + -4n + -1n

Combine like terms: -4n + -1n = -5n
5 + -4n = 6 + -5n

Solving
5 + -4n = 6 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
5 + -4n + 5n = 6 + -5n + 5n

Combine like terms: -4n + 5n = 1n
5 + 1n = 6 + -5n + 5n

Combine like terms: -5n + 5n = 0
5 + 1n = 6 + 0
5 + 1n = 6

Add '-5' to each side of the equation.
5 + -5 + 1n = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1n = 6 + -5
1n = 6 + -5

Combine like terms: 6 + -5 = 1
1n = 1

Divide each side by '1'.
n = 1

Simplifying
n = 1