5xs+6=3xs-2

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

Simplifying
5xs + 6 = 3xs + -2

Reorder the terms:
6 + 5sx = 3xs + -2

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

Solving
6 + 5sx = -2 + 3sx

Solving for variable 's'.

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

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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 2sx = -2 + -6
2sx = -2 + -6

Combine like terms: -2 + -6 = -8
2sx = -8

Divide each side by '2x'.
s = -4x-1

Simplifying
s = -4x-1