5n+6=3(n+1)

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

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

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

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

Solving
6 + 5n = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 5n + -3n = 3 + 3n + -3n

Combine like terms: 5n + -3n = 2n
6 + 2n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 2n = 3 + 0
6 + 2n = 3

Add '-6' to each side of the equation.
6 + -6 + 2n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 3 + -6
2n = 3 + -6

Combine like terms: 3 + -6 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5