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

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


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

Reorder the terms:
2(7 + 5s) + -4s = (2s + 2) + -10
(7 * 2 + 5s * 2) + -4s = (2s + 2) + -10
(14 + 10s) + -4s = (2s + 2) + -10

Combine like terms: 10s + -4s = 6s
14 + 6s = (2s + 2) + -10

Reorder the terms:
14 + 6s = (2 + 2s) + -10

Remove parenthesis around (2 + 2s)
14 + 6s = 2 + 2s + -10

Reorder the terms:
14 + 6s = 2 + -10 + 2s

Combine like terms: 2 + -10 = -8
14 + 6s = -8 + 2s

Solving
14 + 6s = -8 + 2s

Solving for variable 's'.

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

Add '-2s' to each side of the equation.
14 + 6s + -2s = -8 + 2s + -2s

Combine like terms: 6s + -2s = 4s
14 + 4s = -8 + 2s + -2s

Combine like terms: 2s + -2s = 0
14 + 4s = -8 + 0
14 + 4s = -8

Add '-14' to each side of the equation.
14 + -14 + 4s = -8 + -14

Combine like terms: 14 + -14 = 0
0 + 4s = -8 + -14
4s = -8 + -14

Combine like terms: -8 + -14 = -22
4s = -22

Divide each side by '4'.
s = -5.5

Simplifying
s = -5.5

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