3(n-1)=5n

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

Simplifying
3(n + -1) = 5n

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

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

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

Combine like terms: 5n + -5n = 0
-3 + -2n = 0

Add '3' to each side of the equation.
-3 + 3 + -2n = 0 + 3

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

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

Divide each side by '-2'.
n = -1.5

Simplifying
n = -1.5