[5n-3]2=[n+3]-2

Solution for [5n-3]2=[n+3]-2 equation:

Simplifying
[5n + -3] * 2 = [n + 3] + -2

Reorder the terms:
[-3 + 5n] * 2 = [n + 3] + -2

Reorder the terms for easier multiplication:
2[-3 + 5n] = [n + 3] + -2
[-3 * 2 + 5n * 2] = [n + 3] + -2
[-6 + 10n] = [n + 3] + -2

Reorder the terms:
-6 + 10n = [3 + n] + -2

Remove brackets around [3 + n]
-6 + 10n = 3 + n + -2

Reorder the terms:
-6 + 10n = 3 + -2 + n

Combine like terms: 3 + -2 = 1
-6 + 10n = 1 + n

Solving
-6 + 10n = 1 + n

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.
-6 + 10n + -1n = 1 + n + -1n

Combine like terms: 10n + -1n = 9n
-6 + 9n = 1 + n + -1n

Combine like terms: n + -1n = 0
-6 + 9n = 1 + 0
-6 + 9n = 1

Add '6' to each side of the equation.
-6 + 6 + 9n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = 1 + 6
9n = 1 + 6

Combine like terms: 1 + 6 = 7
9n = 7

Divide each side by '9'.
n = 0.7777777778

Simplifying
n = 0.7777777778