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

Solution for 6(n-1)=3(n+5) equation:

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

Reorder the terms:
6(-1 + n) = 3(n + 5)
(-1 * 6 + n * 6) = 3(n + 5)
(-6 + 6n) = 3(n + 5)

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

Solving
-6 + 6n = 15 + 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 = 15 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-6 + 3n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 3n = 15 + 0
-6 + 3n = 15

Add '6' to each side of the equation.
-6 + 6 + 3n = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 15 + 6
3n = 15 + 6

Combine like terms: 15 + 6 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7