14(s+4)=5(s-12)+44

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Solution for 14(s+4)=5(s-12)+44 equation:


Simplifying
14(s + 4) = 5(s + -12) + 44

Reorder the terms:
14(4 + s) = 5(s + -12) + 44
(4 * 14 + s * 14) = 5(s + -12) + 44
(56 + 14s) = 5(s + -12) + 44

Reorder the terms:
56 + 14s = 5(-12 + s) + 44
56 + 14s = (-12 * 5 + s * 5) + 44
56 + 14s = (-60 + 5s) + 44

Reorder the terms:
56 + 14s = -60 + 44 + 5s

Combine like terms: -60 + 44 = -16
56 + 14s = -16 + 5s

Solving
56 + 14s = -16 + 5s

Solving for variable 's'.

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

Add '-5s' to each side of the equation.
56 + 14s + -5s = -16 + 5s + -5s

Combine like terms: 14s + -5s = 9s
56 + 9s = -16 + 5s + -5s

Combine like terms: 5s + -5s = 0
56 + 9s = -16 + 0
56 + 9s = -16

Add '-56' to each side of the equation.
56 + -56 + 9s = -16 + -56

Combine like terms: 56 + -56 = 0
0 + 9s = -16 + -56
9s = -16 + -56

Combine like terms: -16 + -56 = -72
9s = -72

Divide each side by '9'.
s = -8

Simplifying
s = -8

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