6(2n-1)=(3n+2)+8

Solution for 6(2n-1)=(3n+2)+8 equation:

Simplifying
6(2n + -1) = (3n + 2) + 8

Reorder the terms:
6(-1 + 2n) = (3n + 2) + 8
(-1 * 6 + 2n * 6) = (3n + 2) + 8
(-6 + 12n) = (3n + 2) + 8

Reorder the terms:
-6 + 12n = (2 + 3n) + 8

Remove parenthesis around (2 + 3n)
-6 + 12n = 2 + 3n + 8

Reorder the terms:
-6 + 12n = 2 + 8 + 3n

Combine like terms: 2 + 8 = 10
-6 + 12n = 10 + 3n

Solving
-6 + 12n = 10 + 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 + 12n + -3n = 10 + 3n + -3n

Combine like terms: 12n + -3n = 9n
-6 + 9n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 9n = 10 + 0
-6 + 9n = 10

Add '6' to each side of the equation.
-6 + 6 + 9n = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = 10 + 6
9n = 10 + 6

Combine like terms: 10 + 6 = 16
9n = 16

Divide each side by '9'.
n = 1.777777778

Simplifying
n = 1.777777778