-5.2(2S+5)-2.4(4S-6)=

Solution for -5.2(2S+5)-2.4(4S-6)= equation:

Simplifying
-5.2(2S + 5) + -2.4(4S + -6) = 0

Reorder the terms:
-5.2(5 + 2S) + -2.4(4S + -6) = 0
(5 * -5.2 + 2S * -5.2) + -2.4(4S + -6) = 0
(-26 + -10.4S) + -2.4(4S + -6) = 0

Reorder the terms:
-26 + -10.4S + -2.4(-6 + 4S) = 0
-26 + -10.4S + (-6 * -2.4 + 4S * -2.4) = 0
-26 + -10.4S + (14.4 + -9.6S) = 0

Reorder the terms:
-26 + 14.4 + -10.4S + -9.6S = 0

Combine like terms: -26 + 14.4 = -11.6
-11.6 + -10.4S + -9.6S = 0

Combine like terms: -10.4S + -9.6S = -20S
-11.6 + -20S = 0

Solving
-11.6 + -20S = 0

Solving for variable 'S'.

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

Add '11.6' to each side of the equation.
-11.6 + 11.6 + -20S = 0 + 11.6

Combine like terms: -11.6 + 11.6 = 0.0
0.0 + -20S = 0 + 11.6
-20S = 0 + 11.6

Combine like terms: 0 + 11.6 = 11.6
-20S = 11.6

Divide each side by '-20'.
S = -0.58

Simplifying
S = -0.58