2(5s-13)-4(2s+9)=0

Solution for 2(5s-13)-4(2s+9)=0 equation:

Simplifying
2(5s + -13) + -4(2s + 9) = 0

Reorder the terms:
2(-13 + 5s) + -4(2s + 9) = 0
(-13 * 2 + 5s * 2) + -4(2s + 9) = 0
(-26 + 10s) + -4(2s + 9) = 0

Reorder the terms:
-26 + 10s + -4(9 + 2s) = 0
-26 + 10s + (9 * -4 + 2s * -4) = 0
-26 + 10s + (-36 + -8s) = 0

Reorder the terms:
-26 + -36 + 10s + -8s = 0

Combine like terms: -26 + -36 = -62
-62 + 10s + -8s = 0

Combine like terms: 10s + -8s = 2s
-62 + 2s = 0

Solving
-62 + 2s = 0

Solving for variable 's'.

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

Add '62' to each side of the equation.
-62 + 62 + 2s = 0 + 62

Combine like terms: -62 + 62 = 0
0 + 2s = 0 + 62
2s = 0 + 62

Combine like terms: 0 + 62 = 62
2s = 62

Divide each side by '2'.
s = 31

Simplifying
s = 31