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

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

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

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

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

Solving
-6 + 6n = -15 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 6n + -5n = -15 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-6 + 1n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 1n = -15 + 0
-6 + 1n = -15

Add '6' to each side of the equation.
-6 + 6 + 1n = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = -15 + 6
1n = -15 + 6

Combine like terms: -15 + 6 = -9
1n = -9

Divide each side by '1'.
n = -9

Simplifying
n = -9