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

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

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

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

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

Solving
-3 + 9n = 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.
-3 + 9n + -2n = 6 + 2n + -2n

Combine like terms: 9n + -2n = 7n
-3 + 7n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 7n = 6 + 0
-3 + 7n = 6

Add '3' to each side of the equation.
-3 + 3 + 7n = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 7n = 6 + 3
7n = 6 + 3

Combine like terms: 6 + 3 = 9
7n = 9

Divide each side by '7'.
n = 1.285714286

Simplifying
n = 1.285714286