6s+2(2s+4)=2(s-2)

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Solution for 6s+2(2s+4)=2(s-2) equation:


Simplifying
6s + 2(2s + 4) = 2(s + -2)

Reorder the terms:
6s + 2(4 + 2s) = 2(s + -2)
6s + (4 * 2 + 2s * 2) = 2(s + -2)
6s + (8 + 4s) = 2(s + -2)

Reorder the terms:
8 + 6s + 4s = 2(s + -2)

Combine like terms: 6s + 4s = 10s
8 + 10s = 2(s + -2)

Reorder the terms:
8 + 10s = 2(-2 + s)
8 + 10s = (-2 * 2 + s * 2)
8 + 10s = (-4 + 2s)

Solving
8 + 10s = -4 + 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.
8 + 10s + -2s = -4 + 2s + -2s

Combine like terms: 10s + -2s = 8s
8 + 8s = -4 + 2s + -2s

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

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

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

Combine like terms: -4 + -8 = -12
8s = -12

Divide each side by '8'.
s = -1.5

Simplifying
s = -1.5

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