6(3n+1)=8(4n+7)+5

Solution for 6(3n+1)=8(4n+7)+5 equation:

Simplifying
6(3n + 1) = 8(4n + 7) + 5

Reorder the terms:
6(1 + 3n) = 8(4n + 7) + 5
(1 * 6 + 3n * 6) = 8(4n + 7) + 5
(6 + 18n) = 8(4n + 7) + 5

Reorder the terms:
6 + 18n = 8(7 + 4n) + 5
6 + 18n = (7 * 8 + 4n * 8) + 5
6 + 18n = (56 + 32n) + 5

Reorder the terms:
6 + 18n = 56 + 5 + 32n

Combine like terms: 56 + 5 = 61
6 + 18n = 61 + 32n

Solving
6 + 18n = 61 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
6 + 18n + -32n = 61 + 32n + -32n

Combine like terms: 18n + -32n = -14n
6 + -14n = 61 + 32n + -32n

Combine like terms: 32n + -32n = 0
6 + -14n = 61 + 0
6 + -14n = 61

Add '-6' to each side of the equation.
6 + -6 + -14n = 61 + -6

Combine like terms: 6 + -6 = 0
0 + -14n = 61 + -6
-14n = 61 + -6

Combine like terms: 61 + -6 = 55
-14n = 55

Divide each side by '-14'.
n = -3.928571429

Simplifying
n = -3.928571429