2(5s-12)-4(2s+6)=0

Solution for 2(5s-12)-4(2s+6)=0 equation:

Simplifying
2(5s + -12) + -4(2s + 6) = 0

Reorder the terms:
2(-12 + 5s) + -4(2s + 6) = 0
(-12 * 2 + 5s * 2) + -4(2s + 6) = 0
(-24 + 10s) + -4(2s + 6) = 0

Reorder the terms:
-24 + 10s + -4(6 + 2s) = 0
-24 + 10s + (6 * -4 + 2s * -4) = 0
-24 + 10s + (-24 + -8s) = 0

Reorder the terms:
-24 + -24 + 10s + -8s = 0

Combine like terms: -24 + -24 = -48
-48 + 10s + -8s = 0

Combine like terms: 10s + -8s = 2s
-48 + 2s = 0

Solving
-48 + 2s = 0

Solving for variable 's'.

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

Add '48' to each side of the equation.
-48 + 48 + 2s = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 2s = 0 + 48
2s = 0 + 48

Combine like terms: 0 + 48 = 48
2s = 48

Divide each side by '2'.
s = 24

Simplifying
s = 24