5[n-3]=2n-6

Solution for 5[n-3]=2n-6 equation:

Simplifying
5[n + -3] = 2n + -6

Reorder the terms:
5[-3 + n] = 2n + -6
[-3 * 5 + n * 5] = 2n + -6
[-15 + 5n] = 2n + -6

Reorder the terms:
-15 + 5n = -6 + 2n

Solving
-15 + 5n = -6 + 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.
-15 + 5n + -2n = -6 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-15 + 3n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 3n = -6 + 0
-15 + 3n = -6

Add '15' to each side of the equation.
-15 + 15 + 3n = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = -6 + 15
3n = -6 + 15

Combine like terms: -6 + 15 = 9
3n = 9

Divide each side by '3'.
n = 3

Simplifying
n = 3