3(3n+2)=6(5n+4)+2

Solution for 3(3n+2)=6(5n+4)+2 equation:

Simplifying
3(3n + 2) = 6(5n + 4) + 2

Reorder the terms:
3(2 + 3n) = 6(5n + 4) + 2
(2 * 3 + 3n * 3) = 6(5n + 4) + 2
(6 + 9n) = 6(5n + 4) + 2

Reorder the terms:
6 + 9n = 6(4 + 5n) + 2
6 + 9n = (4 * 6 + 5n * 6) + 2
6 + 9n = (24 + 30n) + 2

Reorder the terms:
6 + 9n = 24 + 2 + 30n

Combine like terms: 24 + 2 = 26
6 + 9n = 26 + 30n

Solving
6 + 9n = 26 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
6 + 9n + -30n = 26 + 30n + -30n

Combine like terms: 9n + -30n = -21n
6 + -21n = 26 + 30n + -30n

Combine like terms: 30n + -30n = 0
6 + -21n = 26 + 0
6 + -21n = 26

Add '-6' to each side of the equation.
6 + -6 + -21n = 26 + -6

Combine like terms: 6 + -6 = 0
0 + -21n = 26 + -6
-21n = 26 + -6

Combine like terms: 26 + -6 = 20
-21n = 20

Divide each side by '-21'.
n = -0.9523809524

Simplifying
n = -0.9523809524