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

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

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

Reorder the terms:
-3(-2 + 5s) + -6 = -3(8s + 1) + -3
(-2 * -3 + 5s * -3) + -6 = -3(8s + 1) + -3
(6 + -15s) + -6 = -3(8s + 1) + -3

Reorder the terms:
6 + -6 + -15s = -3(8s + 1) + -3

Combine like terms: 6 + -6 = 0
0 + -15s = -3(8s + 1) + -3
-15s = -3(8s + 1) + -3

Reorder the terms:
-15s = -3(1 + 8s) + -3
-15s = (1 * -3 + 8s * -3) + -3
-15s = (-3 + -24s) + -3

Reorder the terms:
-15s = -3 + -3 + -24s

Combine like terms: -3 + -3 = -6
-15s = -6 + -24s

Solving
-15s = -6 + -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.
-15s + 24s = -6 + -24s + 24s

Combine like terms: -15s + 24s = 9s
9s = -6 + -24s + 24s

Combine like terms: -24s + 24s = 0
9s = -6 + 0
9s = -6

Divide each side by '9'.
s = -0.6666666667

Simplifying
s = -0.6666666667