-2(4S-5)-10=-3(8S+2)-3

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Solution for -2(4S-5)-10=-3(8S+2)-3 equation: 


Simplifying
-2(4S + -5) + -10 = -3(8S + 2) + -3

Reorder the terms:
-2(-5 + 4S) + -10 = -3(8S + 2) + -3
(-5 * -2 + 4S * -2) + -10 = -3(8S + 2) + -3
(10 + -8S) + -10 = -3(8S + 2) + -3

Reorder the terms:
10 + -10 + -8S = -3(8S + 2) + -3

Combine like terms: 10 + -10 = 0
0 + -8S = -3(8S + 2) + -3
-8S = -3(8S + 2) + -3

Reorder the terms:
-8S = -3(2 + 8S) + -3
-8S = (2 * -3 + 8S * -3) + -3
-8S = (-6 + -24S) + -3

Reorder the terms:
-8S = -6 + -3 + -24S

Combine like terms: -6 + -3 = -9
-8S = -9 + -24S

Solving
-8S = -9 + -24S

Solving for variable 'S'.

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

Add '24S' to each side of the equation.
-8S + 24S = -9 + -24S + 24S

Combine like terms: -8S + 24S = 16S
16S = -9 + -24S + 24S

Combine like terms: -24S + 24S = 0
16S = -9 + 0
16S = -9

Divide each side by '16'.
S = -0.5625

Simplifying
S = -0.5625

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