10(s+3)=3(s-12)+24

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Solution for 10(s+3)=3(s-12)+24 equation:


Simplifying
10(s + 3) = 3(s + -12) + 24

Reorder the terms:
10(3 + s) = 3(s + -12) + 24
(3 * 10 + s * 10) = 3(s + -12) + 24
(30 + 10s) = 3(s + -12) + 24

Reorder the terms:
30 + 10s = 3(-12 + s) + 24
30 + 10s = (-12 * 3 + s * 3) + 24
30 + 10s = (-36 + 3s) + 24

Reorder the terms:
30 + 10s = -36 + 24 + 3s

Combine like terms: -36 + 24 = -12
30 + 10s = -12 + 3s

Solving
30 + 10s = -12 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
30 + 10s + -3s = -12 + 3s + -3s

Combine like terms: 10s + -3s = 7s
30 + 7s = -12 + 3s + -3s

Combine like terms: 3s + -3s = 0
30 + 7s = -12 + 0
30 + 7s = -12

Add '-30' to each side of the equation.
30 + -30 + 7s = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 7s = -12 + -30
7s = -12 + -30

Combine like terms: -12 + -30 = -42
7s = -42

Divide each side by '7'.
s = -6

Simplifying
s = -6

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