3[6s+12]-[10s-6]=0

Solution for 3[6s+12]-[10s-6]=0 equation:

Simplifying
3[6s + 12] + -1[10s + -6] = 0

Reorder the terms:
3[12 + 6s] + -1[10s + -6] = 0
[12 * 3 + 6s * 3] + -1[10s + -6] = 0
[36 + 18s] + -1[10s + -6] = 0

Reorder the terms:
36 + 18s + -1[-6 + 10s] = 0
36 + 18s + [-6 * -1 + 10s * -1] = 0
36 + 18s + [6 + -10s] = 0

Reorder the terms:
36 + 6 + 18s + -10s = 0

Combine like terms: 36 + 6 = 42
42 + 18s + -10s = 0

Combine like terms: 18s + -10s = 8s
42 + 8s = 0

Solving
42 + 8s = 0

Solving for variable 's'.

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

Add '-42' to each side of the equation.
42 + -42 + 8s = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 8s = 0 + -42
8s = 0 + -42

Combine like terms: 0 + -42 = -42
8s = -42

Divide each side by '8'.
s = -5.25

Simplifying
s = -5.25