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

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

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

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

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

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

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

Combine like terms: 5 + 2 = 7
1 + -1n = 7 + -2n

Solving
1 + -1n = 7 + -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.
1 + -1n + 2n = 7 + -2n + 2n

Combine like terms: -1n + 2n = 1n
1 + 1n = 7 + -2n + 2n

Combine like terms: -2n + 2n = 0
1 + 1n = 7 + 0
1 + 1n = 7

Add '-1' to each side of the equation.
1 + -1 + 1n = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 1n = 7 + -1
1n = 7 + -1

Combine like terms: 7 + -1 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6