3(5n-2)-6=3(3n+2)

Solution for 3(5n-2)-6=3(3n+2) equation:

Simplifying
3(5n + -2) + -6 = 3(3n + 2)

Reorder the terms:
3(-2 + 5n) + -6 = 3(3n + 2)
(-2 * 3 + 5n * 3) + -6 = 3(3n + 2)
(-6 + 15n) + -6 = 3(3n + 2)

Reorder the terms:
-6 + -6 + 15n = 3(3n + 2)

Combine like terms: -6 + -6 = -12
-12 + 15n = 3(3n + 2)

Reorder the terms:
-12 + 15n = 3(2 + 3n)
-12 + 15n = (2 * 3 + 3n * 3)
-12 + 15n = (6 + 9n)

Solving
-12 + 15n = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-12 + 15n + -9n = 6 + 9n + -9n

Combine like terms: 15n + -9n = 6n
-12 + 6n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-12 + 6n = 6 + 0
-12 + 6n = 6

Add '12' to each side of the equation.
-12 + 12 + 6n = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 6n = 6 + 12
6n = 6 + 12

Combine like terms: 6 + 12 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3