3(n+1)=5n+3-6n

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

Simplifying
3(n + 1) = 5n + 3 + -6n

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

Reorder the terms:
3 + 3n = 3 + 5n + -6n

Combine like terms: 5n + -6n = -1n
3 + 3n = 3 + -1n

Add '-3' to each side of the equation.
3 + -3 + 3n = 3 + -3 + -1n

Combine like terms: 3 + -3 = 0
0 + 3n = 3 + -3 + -1n
3n = 3 + -3 + -1n

Combine like terms: 3 + -3 = 0
3n = 0 + -1n
3n = -1n

Solving
3n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
3n + n = -1n + n

Combine like terms: 3n + n = 4n
4n = -1n + n

Combine like terms: -1n + n = 0
4n = 0

Divide each side by '4'.
n = 0

Simplifying
n = 0