-2(4s-5)-10=-3(7s+5)-5

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Solution for -2(4s-5)-10=-3(7s+5)-5 equation: 


Simplifying
-2(4s + -5) + -10 = -3(7s + 5) + -5

Reorder the terms:
-2(-5 + 4s) + -10 = -3(7s + 5) + -5
(-5 * -2 + 4s * -2) + -10 = -3(7s + 5) + -5
(10 + -8s) + -10 = -3(7s + 5) + -5

Reorder the terms:
10 + -10 + -8s = -3(7s + 5) + -5

Combine like terms: 10 + -10 = 0
0 + -8s = -3(7s + 5) + -5
-8s = -3(7s + 5) + -5

Reorder the terms:
-8s = -3(5 + 7s) + -5
-8s = (5 * -3 + 7s * -3) + -5
-8s = (-15 + -21s) + -5

Reorder the terms:
-8s = -15 + -5 + -21s

Combine like terms: -15 + -5 = -20
-8s = -20 + -21s

Solving
-8s = -20 + -21s

Solving for variable 's'.

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

Add '21s' to each side of the equation.
-8s + 21s = -20 + -21s + 21s

Combine like terms: -8s + 21s = 13s
13s = -20 + -21s + 21s

Combine like terms: -21s + 21s = 0
13s = -20 + 0
13s = -20

Divide each side by '13'.
s = -1.538461538

Simplifying
s = -1.538461538

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