2(s+7+3s)=3(2s+12)

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Solution for 2(s+7+3s)=3(2s+12) equation:


Simplifying
2(s + 7 + 3s) = 3(2s + 12)

Reorder the terms:
2(7 + s + 3s) = 3(2s + 12)

Combine like terms: s + 3s = 4s
2(7 + 4s) = 3(2s + 12)
(7 * 2 + 4s * 2) = 3(2s + 12)
(14 + 8s) = 3(2s + 12)

Reorder the terms:
14 + 8s = 3(12 + 2s)
14 + 8s = (12 * 3 + 2s * 3)
14 + 8s = (36 + 6s)

Solving
14 + 8s = 36 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
14 + 8s + -6s = 36 + 6s + -6s

Combine like terms: 8s + -6s = 2s
14 + 2s = 36 + 6s + -6s

Combine like terms: 6s + -6s = 0
14 + 2s = 36 + 0
14 + 2s = 36

Add '-14' to each side of the equation.
14 + -14 + 2s = 36 + -14

Combine like terms: 14 + -14 = 0
0 + 2s = 36 + -14
2s = 36 + -14

Combine like terms: 36 + -14 = 22
2s = 22

Divide each side by '2'.
s = 11

Simplifying
s = 11

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