5n+6=2n-3

Solution for 5n+6=2n-3 equation:

Simplifying
5n + 6 = 2n + -3

Reorder the terms:
6 + 5n = 2n + -3

Reorder the terms:
6 + 5n = -3 + 2n

Solving
6 + 5n = -3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 5n + -2n = -3 + 2n + -2n

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

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

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

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

Combine like terms: -3 + -6 = -9
3n = -9

Divide each side by '3'.
n = -3

Simplifying
n = -3