-3(4s-5)-15=-2(8s+5)-3

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Solution for -3(4s-5)-15=-2(8s+5)-3 equation:


Simplifying
-3(4s + -5) + -15 = -2(8s + 5) + -3

Reorder the terms:
-3(-5 + 4s) + -15 = -2(8s + 5) + -3
(-5 * -3 + 4s * -3) + -15 = -2(8s + 5) + -3
(15 + -12s) + -15 = -2(8s + 5) + -3

Reorder the terms:
15 + -15 + -12s = -2(8s + 5) + -3

Combine like terms: 15 + -15 = 0
0 + -12s = -2(8s + 5) + -3
-12s = -2(8s + 5) + -3

Reorder the terms:
-12s = -2(5 + 8s) + -3
-12s = (5 * -2 + 8s * -2) + -3
-12s = (-10 + -16s) + -3

Reorder the terms:
-12s = -10 + -3 + -16s

Combine like terms: -10 + -3 = -13
-12s = -13 + -16s

Solving
-12s = -13 + -16s

Solving for variable 's'.

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

Add '16s' to each side of the equation.
-12s + 16s = -13 + -16s + 16s

Combine like terms: -12s + 16s = 4s
4s = -13 + -16s + 16s

Combine like terms: -16s + 16s = 0
4s = -13 + 0
4s = -13

Divide each side by '4'.
s = -3.25

Simplifying
s = -3.25

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