5*(s+12)=10*(3-s)

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Solution for 5*(s+12)=10*(3-s) equation: 


Simplifying
5(s + 12) = 10(3 + -1s)

Reorder the terms:
5(12 + s) = 10(3 + -1s)
(12 * 5 + s * 5) = 10(3 + -1s)
(60 + 5s) = 10(3 + -1s)
60 + 5s = (3 * 10 + -1s * 10)
60 + 5s = (30 + -10s)

Solving
60 + 5s = 30 + -10s

Solving for variable 's'.

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

Add '10s' to each side of the equation.
60 + 5s + 10s = 30 + -10s + 10s

Combine like terms: 5s + 10s = 15s
60 + 15s = 30 + -10s + 10s

Combine like terms: -10s + 10s = 0
60 + 15s = 30 + 0
60 + 15s = 30

Add '-60' to each side of the equation.
60 + -60 + 15s = 30 + -60

Combine like terms: 60 + -60 = 0
0 + 15s = 30 + -60
15s = 30 + -60

Combine like terms: 30 + -60 = -30
15s = -30

Divide each side by '15'.
s = -2

Simplifying
s = -2

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