5n+3=2n-6

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

Simplifying
5n + 3 = 2n + -6

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

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

Solving
3 + 5n = -6 + 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.
3 + 5n + -2n = -6 + 2n + -2n

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

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

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

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

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

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

Simplifying
n = -3