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

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


Simplifying
5(2s + 3) + -1s = 2(3 + -4s) + 5

Reorder the terms:
5(3 + 2s) + -1s = 2(3 + -4s) + 5
(3 * 5 + 2s * 5) + -1s = 2(3 + -4s) + 5
(15 + 10s) + -1s = 2(3 + -4s) + 5

Combine like terms: 10s + -1s = 9s
15 + 9s = 2(3 + -4s) + 5
15 + 9s = (3 * 2 + -4s * 2) + 5
15 + 9s = (6 + -8s) + 5

Reorder the terms:
15 + 9s = 6 + 5 + -8s

Combine like terms: 6 + 5 = 11
15 + 9s = 11 + -8s

Solving
15 + 9s = 11 + -8s

Solving for variable 's'.

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

Add '8s' to each side of the equation.
15 + 9s + 8s = 11 + -8s + 8s

Combine like terms: 9s + 8s = 17s
15 + 17s = 11 + -8s + 8s

Combine like terms: -8s + 8s = 0
15 + 17s = 11 + 0
15 + 17s = 11

Add '-15' to each side of the equation.
15 + -15 + 17s = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 17s = 11 + -15
17s = 11 + -15

Combine like terms: 11 + -15 = -4
17s = -4

Divide each side by '17'.
s = -0.2352941176

Simplifying
s = -0.2352941176

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