6(2n+1)=7(6n+7)+5

Solution for 6(2n+1)=7(6n+7)+5 equation:

Simplifying
6(2n + 1) = 7(6n + 7) + 5

Reorder the terms:
6(1 + 2n) = 7(6n + 7) + 5
(1 * 6 + 2n * 6) = 7(6n + 7) + 5
(6 + 12n) = 7(6n + 7) + 5

Reorder the terms:
6 + 12n = 7(7 + 6n) + 5
6 + 12n = (7 * 7 + 6n * 7) + 5
6 + 12n = (49 + 42n) + 5

Reorder the terms:
6 + 12n = 49 + 5 + 42n

Combine like terms: 49 + 5 = 54
6 + 12n = 54 + 42n

Solving
6 + 12n = 54 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
6 + 12n + -42n = 54 + 42n + -42n

Combine like terms: 12n + -42n = -30n
6 + -30n = 54 + 42n + -42n

Combine like terms: 42n + -42n = 0
6 + -30n = 54 + 0
6 + -30n = 54

Add '-6' to each side of the equation.
6 + -6 + -30n = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -30n = 54 + -6
-30n = 54 + -6

Combine like terms: 54 + -6 = 48
-30n = 48

Divide each side by '-30'.
n = -1.6

Simplifying
n = -1.6