3(n-1)=5n+3-3n

Solution for 3(n-1)=5n+3-3n equation:

Simplifying
3(n + -1) = 5n + 3 + -3n

Reorder the terms:
3(-1 + n) = 5n + 3 + -3n
(-1 * 3 + n * 3) = 5n + 3 + -3n
(-3 + 3n) = 5n + 3 + -3n

Reorder the terms:
-3 + 3n = 3 + 5n + -3n

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

Solving
-3 + 3n = 3 + 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 + 3n + -2n = 3 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-3 + 1n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 1n = 3 + 0
-3 + 1n = 3

Add '3' to each side of the equation.
-3 + 3 + 1n = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1n = 3 + 3
1n = 3 + 3

Combine like terms: 3 + 3 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6