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

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

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

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

Reorder the terms:
6 + 18n = 7(3 + 7n) + 5
6 + 18n = (3 * 7 + 7n * 7) + 5
6 + 18n = (21 + 49n) + 5

Reorder the terms:
6 + 18n = 21 + 5 + 49n

Combine like terms: 21 + 5 = 26
6 + 18n = 26 + 49n

Solving
6 + 18n = 26 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
6 + 18n + -49n = 26 + 49n + -49n

Combine like terms: 18n + -49n = -31n
6 + -31n = 26 + 49n + -49n

Combine like terms: 49n + -49n = 0
6 + -31n = 26 + 0
6 + -31n = 26

Add '-6' to each side of the equation.
6 + -6 + -31n = 26 + -6

Combine like terms: 6 + -6 = 0
0 + -31n = 26 + -6
-31n = 26 + -6

Combine like terms: 26 + -6 = 20
-31n = 20

Divide each side by '-31'.
n = -0.6451612903

Simplifying
n = -0.6451612903