6(3n+1)-30=3(2n-4)

Solution for 6(3n+1)-30=3(2n-4) equation:

Simplifying
6(3n + 1) + -30 = 3(2n + -4)

Reorder the terms:
6(1 + 3n) + -30 = 3(2n + -4)
(1 * 6 + 3n * 6) + -30 = 3(2n + -4)
(6 + 18n) + -30 = 3(2n + -4)

Reorder the terms:
6 + -30 + 18n = 3(2n + -4)

Combine like terms: 6 + -30 = -24
-24 + 18n = 3(2n + -4)

Reorder the terms:
-24 + 18n = 3(-4 + 2n)
-24 + 18n = (-4 * 3 + 2n * 3)
-24 + 18n = (-12 + 6n)

Solving
-24 + 18n = -12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-24 + 18n + -6n = -12 + 6n + -6n

Combine like terms: 18n + -6n = 12n
-24 + 12n = -12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-24 + 12n = -12 + 0
-24 + 12n = -12

Add '24' to each side of the equation.
-24 + 24 + 12n = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 12n = -12 + 24
12n = -12 + 24

Combine like terms: -12 + 24 = 12
12n = 12

Divide each side by '12'.
n = 1

Simplifying
n = 1