2(2s+1)+6(2-s)+3(3s-1)=-3

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Solution for 2(2s+1)+6(2-s)+3(3s-1)=-3 equation: 


Simplifying
2(2s + 1) + 6(2 + -1s) + 3(3s + -1) = -3

Reorder the terms:
2(1 + 2s) + 6(2 + -1s) + 3(3s + -1) = -3
(1 * 2 + 2s * 2) + 6(2 + -1s) + 3(3s + -1) = -3
(2 + 4s) + 6(2 + -1s) + 3(3s + -1) = -3
2 + 4s + (2 * 6 + -1s * 6) + 3(3s + -1) = -3
2 + 4s + (12 + -6s) + 3(3s + -1) = -3

Reorder the terms:
2 + 4s + 12 + -6s + 3(-1 + 3s) = -3
2 + 4s + 12 + -6s + (-1 * 3 + 3s * 3) = -3
2 + 4s + 12 + -6s + (-3 + 9s) = -3

Reorder the terms:
2 + 12 + -3 + 4s + -6s + 9s = -3

Combine like terms: 2 + 12 = 14
14 + -3 + 4s + -6s + 9s = -3

Combine like terms: 14 + -3 = 11
11 + 4s + -6s + 9s = -3

Combine like terms: 4s + -6s = -2s
11 + -2s + 9s = -3

Combine like terms: -2s + 9s = 7s
11 + 7s = -3

Solving
11 + 7s = -3

Solving for variable 's'.

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

Add '-11' to each side of the equation.
11 + -11 + 7s = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 7s = -3 + -11
7s = -3 + -11

Combine like terms: -3 + -11 = -14
7s = -14

Divide each side by '7'.
s = -2

Simplifying
s = -2

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