3(2n+2)=6(6n+5)+7

Solution for 3(2n+2)=6(6n+5)+7 equation:

Simplifying
3(2n + 2) = 6(6n + 5) + 7

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

Reorder the terms:
6 + 6n = 6(5 + 6n) + 7
6 + 6n = (5 * 6 + 6n * 6) + 7
6 + 6n = (30 + 36n) + 7

Reorder the terms:
6 + 6n = 30 + 7 + 36n

Combine like terms: 30 + 7 = 37
6 + 6n = 37 + 36n

Solving
6 + 6n = 37 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
6 + 6n + -36n = 37 + 36n + -36n

Combine like terms: 6n + -36n = -30n
6 + -30n = 37 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -30n = 37 + 0
6 + -30n = 37

Add '-6' to each side of the equation.
6 + -6 + -30n = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -30n = 37 + -6
-30n = 37 + -6

Combine like terms: 37 + -6 = 31
-30n = 31

Divide each side by '-30'.
n = -1.033333333

Simplifying
n = -1.033333333