2(3n+3)=9(7n+5)+8

Solution for 2(3n+3)=9(7n+5)+8 equation:

Simplifying
2(3n + 3) = 9(7n + 5) + 8

Reorder the terms:
2(3 + 3n) = 9(7n + 5) + 8
(3 * 2 + 3n * 2) = 9(7n + 5) + 8
(6 + 6n) = 9(7n + 5) + 8

Reorder the terms:
6 + 6n = 9(5 + 7n) + 8
6 + 6n = (5 * 9 + 7n * 9) + 8
6 + 6n = (45 + 63n) + 8

Reorder the terms:
6 + 6n = 45 + 8 + 63n

Combine like terms: 45 + 8 = 53
6 + 6n = 53 + 63n

Solving
6 + 6n = 53 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
6 + 6n + -63n = 53 + 63n + -63n

Combine like terms: 6n + -63n = -57n
6 + -57n = 53 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -57n = 53 + 0
6 + -57n = 53

Add '-6' to each side of the equation.
6 + -6 + -57n = 53 + -6

Combine like terms: 6 + -6 = 0
0 + -57n = 53 + -6
-57n = 53 + -6

Combine like terms: 53 + -6 = 47
-57n = 47

Divide each side by '-57'.
n = -0.8245614035

Simplifying
n = -0.8245614035