3(2n+2)=7(4n+5)+5

Solution for 3(2n+2)=7(4n+5)+5 equation:

Simplifying
3(2n + 2) = 7(4n + 5) + 5

Reorder the terms:
3(2 + 2n) = 7(4n + 5) + 5
(2 * 3 + 2n * 3) = 7(4n + 5) + 5
(6 + 6n) = 7(4n + 5) + 5

Reorder the terms:
6 + 6n = 7(5 + 4n) + 5
6 + 6n = (5 * 7 + 4n * 7) + 5
6 + 6n = (35 + 28n) + 5

Reorder the terms:
6 + 6n = 35 + 5 + 28n

Combine like terms: 35 + 5 = 40
6 + 6n = 40 + 28n

Solving
6 + 6n = 40 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
6 + 6n + -28n = 40 + 28n + -28n

Combine like terms: 6n + -28n = -22n
6 + -22n = 40 + 28n + -28n

Combine like terms: 28n + -28n = 0
6 + -22n = 40 + 0
6 + -22n = 40

Add '-6' to each side of the equation.
6 + -6 + -22n = 40 + -6

Combine like terms: 6 + -6 = 0
0 + -22n = 40 + -6
-22n = 40 + -6

Combine like terms: 40 + -6 = 34
-22n = 34

Divide each side by '-22'.
n = -1.545454545

Simplifying
n = -1.545454545