6(2n+1)=5n-8

Solution for 6(2n+1)=5n-8 equation:

Simplifying
6(2n + 1) = 5n + -8

Reorder the terms:
6(1 + 2n) = 5n + -8
(1 * 6 + 2n * 6) = 5n + -8
(6 + 12n) = 5n + -8

Reorder the terms:
6 + 12n = -8 + 5n

Solving
6 + 12n = -8 + 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.
6 + 12n + -5n = -8 + 5n + -5n

Combine like terms: 12n + -5n = 7n
6 + 7n = -8 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + 7n = -8 + 0
6 + 7n = -8

Add '-6' to each side of the equation.
6 + -6 + 7n = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = -8 + -6
7n = -8 + -6

Combine like terms: -8 + -6 = -14
7n = -14

Divide each side by '7'.
n = -2

Simplifying
n = -2