6(3n-1)=2(5n+5)

Solution for 6(3n-1)=2(5n+5) equation:

Simplifying
6(3n + -1) = 2(5n + 5)

Reorder the terms:
6(-1 + 3n) = 2(5n + 5)
(-1 * 6 + 3n * 6) = 2(5n + 5)
(-6 + 18n) = 2(5n + 5)

Reorder the terms:
-6 + 18n = 2(5 + 5n)
-6 + 18n = (5 * 2 + 5n * 2)
-6 + 18n = (10 + 10n)

Solving
-6 + 18n = 10 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-6 + 18n + -10n = 10 + 10n + -10n

Combine like terms: 18n + -10n = 8n
-6 + 8n = 10 + 10n + -10n

Combine like terms: 10n + -10n = 0
-6 + 8n = 10 + 0
-6 + 8n = 10

Add '6' to each side of the equation.
-6 + 6 + 8n = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8n = 10 + 6
8n = 10 + 6

Combine like terms: 10 + 6 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2