-2.5(2s-5)-3(4.5s-5.2)=0

Solution for -2.5(2s-5)-3(4.5s-5.2)=0 equation:

Simplifying
-2.5(2s + -5) + -3(4.5s + -5.2) = 0

Reorder the terms:
-2.5(-5 + 2s) + -3(4.5s + -5.2) = 0
(-5 * -2.5 + 2s * -2.5) + -3(4.5s + -5.2) = 0
(12.5 + -5s) + -3(4.5s + -5.2) = 0

Reorder the terms:
12.5 + -5s + -3(-5.2 + 4.5s) = 0
12.5 + -5s + (-5.2 * -3 + 4.5s * -3) = 0
12.5 + -5s + (15.6 + -13.5s) = 0

Reorder the terms:
12.5 + 15.6 + -5s + -13.5s = 0

Combine like terms: 12.5 + 15.6 = 28.1
28.1 + -5s + -13.5s = 0

Combine like terms: -5s + -13.5s = -18.5s
28.1 + -18.5s = 0

Solving
28.1 + -18.5s = 0

Solving for variable 's'.

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

Add '-28.1' to each side of the equation.
28.1 + -28.1 + -18.5s = 0 + -28.1

Combine like terms: 28.1 + -28.1 = 0.0
0.0 + -18.5s = 0 + -28.1
-18.5s = 0 + -28.1

Combine like terms: 0 + -28.1 = -28.1
-18.5s = -28.1

Divide each side by '-18.5'.
s = 1.518918919

Simplifying
s = 1.518918919