-3(3s-2)-6=-3(8s+1)-5

Solution for -3(3s-2)-6=-3(8s+1)-5 equation:

Simplifying
-3(3s + -2) + -6 = -3(8s + 1) + -5

Reorder the terms:
-3(-2 + 3s) + -6 = -3(8s + 1) + -5
(-2 * -3 + 3s * -3) + -6 = -3(8s + 1) + -5
(6 + -9s) + -6 = -3(8s + 1) + -5

Reorder the terms:
6 + -6 + -9s = -3(8s + 1) + -5

Combine like terms: 6 + -6 = 0
0 + -9s = -3(8s + 1) + -5
-9s = -3(8s + 1) + -5

Reorder the terms:
-9s = -3(1 + 8s) + -5
-9s = (1 * -3 + 8s * -3) + -5
-9s = (-3 + -24s) + -5

Reorder the terms:
-9s = -3 + -5 + -24s

Combine like terms: -3 + -5 = -8
-9s = -8 + -24s

Solving
-9s = -8 + -24s

Solving for variable 's'.

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

Add '24s' to each side of the equation.
-9s + 24s = -8 + -24s + 24s

Combine like terms: -9s + 24s = 15s
15s = -8 + -24s + 24s

Combine like terms: -24s + 24s = 0
15s = -8 + 0
15s = -8

Divide each side by '15'.
s = -0.5333333333

Simplifying
s = -0.5333333333