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

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


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

Reorder the terms:
-2(-5 + 3s) + -10 = -3(4s + 5) + -5
(-5 * -2 + 3s * -2) + -10 = -3(4s + 5) + -5
(10 + -6s) + -10 = -3(4s + 5) + -5

Reorder the terms:
10 + -10 + -6s = -3(4s + 5) + -5

Combine like terms: 10 + -10 = 0
0 + -6s = -3(4s + 5) + -5
-6s = -3(4s + 5) + -5

Reorder the terms:
-6s = -3(5 + 4s) + -5
-6s = (5 * -3 + 4s * -3) + -5
-6s = (-15 + -12s) + -5

Reorder the terms:
-6s = -15 + -5 + -12s

Combine like terms: -15 + -5 = -20
-6s = -20 + -12s

Solving
-6s = -20 + -12s

Solving for variable 's'.

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

Add '12s' to each side of the equation.
-6s + 12s = -20 + -12s + 12s

Combine like terms: -6s + 12s = 6s
6s = -20 + -12s + 12s

Combine like terms: -12s + 12s = 0
6s = -20 + 0
6s = -20

Divide each side by '6'.
s = -3.333333333

Simplifying
s = -3.333333333

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