5s+6=2s-9

Solution for 5s+6=2s-9 equation:

Simplifying
5s + 6 = 2s + -9

Reorder the terms:
6 + 5s = 2s + -9

Reorder the terms:
6 + 5s = -9 + 2s

Solving
6 + 5s = -9 + 2s

Solving for variable 's'.

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

Add '-2s' to each side of the equation.
6 + 5s + -2s = -9 + 2s + -2s

Combine like terms: 5s + -2s = 3s
6 + 3s = -9 + 2s + -2s

Combine like terms: 2s + -2s = 0
6 + 3s = -9 + 0
6 + 3s = -9

Add '-6' to each side of the equation.
6 + -6 + 3s = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3s = -9 + -6
3s = -9 + -6

Combine like terms: -9 + -6 = -15
3s = -15

Divide each side by '3'.
s = -5

Simplifying
s = -5