3(2n+1)=6(5n+4)+6

Solution for 3(2n+1)=6(5n+4)+6 equation:

Simplifying
3(2n + 1) = 6(5n + 4) + 6

Reorder the terms:
3(1 + 2n) = 6(5n + 4) + 6
(1 * 3 + 2n * 3) = 6(5n + 4) + 6
(3 + 6n) = 6(5n + 4) + 6

Reorder the terms:
3 + 6n = 6(4 + 5n) + 6
3 + 6n = (4 * 6 + 5n * 6) + 6
3 + 6n = (24 + 30n) + 6

Reorder the terms:
3 + 6n = 24 + 6 + 30n

Combine like terms: 24 + 6 = 30
3 + 6n = 30 + 30n

Solving
3 + 6n = 30 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
3 + 6n + -30n = 30 + 30n + -30n

Combine like terms: 6n + -30n = -24n
3 + -24n = 30 + 30n + -30n

Combine like terms: 30n + -30n = 0
3 + -24n = 30 + 0
3 + -24n = 30

Add '-3' to each side of the equation.
3 + -3 + -24n = 30 + -3

Combine like terms: 3 + -3 = 0
0 + -24n = 30 + -3
-24n = 30 + -3

Combine like terms: 30 + -3 = 27
-24n = 27

Divide each side by '-24'.
n = -1.125

Simplifying
n = -1.125