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

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

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

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

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

Solving
-6 + 6n = 6 + 3n

Solving for variable 'n'.

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4