3(2x+2)=9(7n+5)+5

Solution for 3(2x+2)=9(7n+5)+5 equation:

Simplifying
3(2x + 2) = 9(7n + 5) + 5

Reorder the terms:
3(2 + 2x) = 9(7n + 5) + 5
(2 * 3 + 2x * 3) = 9(7n + 5) + 5
(6 + 6x) = 9(7n + 5) + 5

Reorder the terms:
6 + 6x = 9(5 + 7n) + 5
6 + 6x = (5 * 9 + 7n * 9) + 5
6 + 6x = (45 + 63n) + 5

Reorder the terms:
6 + 6x = 45 + 5 + 63n

Combine like terms: 45 + 5 = 50
6 + 6x = 50 + 63n

Solving
6 + 6x = 50 + 63n

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 50 + -6 + 63n

Combine like terms: 6 + -6 = 0
0 + 6x = 50 + -6 + 63n
6x = 50 + -6 + 63n

Combine like terms: 50 + -6 = 44
6x = 44 + 63n

Divide each side by '6'.
x = 7.333333333 + 10.5n

Simplifying
x = 7.333333333 + 10.5n