2(5s-12)-4(2s+9)=0

Solution for 2(5s-12)-4(2s+9)=0 equation:

Simplifying
2(5s + -12) + -4(2s + 9) = 0

Reorder the terms:
2(-12 + 5s) + -4(2s + 9) = 0
(-12 * 2 + 5s * 2) + -4(2s + 9) = 0
(-24 + 10s) + -4(2s + 9) = 0

Reorder the terms:
-24 + 10s + -4(9 + 2s) = 0
-24 + 10s + (9 * -4 + 2s * -4) = 0
-24 + 10s + (-36 + -8s) = 0

Reorder the terms:
-24 + -36 + 10s + -8s = 0

Combine like terms: -24 + -36 = -60
-60 + 10s + -8s = 0

Combine like terms: 10s + -8s = 2s
-60 + 2s = 0

Solving
-60 + 2s = 0

Solving for variable 's'.

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

Add '60' to each side of the equation.
-60 + 60 + 2s = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 2s = 0 + 60
2s = 0 + 60

Combine like terms: 0 + 60 = 60
2s = 60

Divide each side by '2'.
s = 30

Simplifying
s = 30