3(2n-1)=(9n+3)+2

Solution for 3(2n-1)=(9n+3)+2 equation:

Simplifying
3(2n + -1) = (9n + 3) + 2

Reorder the terms:
3(-1 + 2n) = (9n + 3) + 2
(-1 * 3 + 2n * 3) = (9n + 3) + 2
(-3 + 6n) = (9n + 3) + 2

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

Remove parenthesis around (3 + 9n)
-3 + 6n = 3 + 9n + 2

Reorder the terms:
-3 + 6n = 3 + 2 + 9n

Combine like terms: 3 + 2 = 5
-3 + 6n = 5 + 9n

Solving
-3 + 6n = 5 + 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.
-3 + 6n + -9n = 5 + 9n + -9n

Combine like terms: 6n + -9n = -3n
-3 + -3n = 5 + 9n + -9n

Combine like terms: 9n + -9n = 0
-3 + -3n = 5 + 0
-3 + -3n = 5

Add '3' to each side of the equation.
-3 + 3 + -3n = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -3n = 5 + 3
-3n = 5 + 3

Combine like terms: 5 + 3 = 8
-3n = 8

Divide each side by '-3'.
n = -2.666666667

Simplifying
n = -2.666666667