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

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

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

Reorder the terms:
2(-3 + 2n) = 2n + -2(n + -1)
(-3 * 2 + 2n * 2) = 2n + -2(n + -1)
(-6 + 4n) = 2n + -2(n + -1)

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

Reorder the terms:
-6 + 4n = 2 + 2n + -2n

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

Solving
-6 + 4n = 2

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 4n = 2 + 6

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

Combine like terms: 2 + 6 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2