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

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Solution for 5(s-12)-24=3(s+12) equation:


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

Reorder the terms:
5(-12 + s) + -24 = 3(s + 12)
(-12 * 5 + s * 5) + -24 = 3(s + 12)
(-60 + 5s) + -24 = 3(s + 12)

Reorder the terms:
-60 + -24 + 5s = 3(s + 12)

Combine like terms: -60 + -24 = -84
-84 + 5s = 3(s + 12)

Reorder the terms:
-84 + 5s = 3(12 + s)
-84 + 5s = (12 * 3 + s * 3)
-84 + 5s = (36 + 3s)

Solving
-84 + 5s = 36 + 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.
-84 + 5s + -3s = 36 + 3s + -3s

Combine like terms: 5s + -3s = 2s
-84 + 2s = 36 + 3s + -3s

Combine like terms: 3s + -3s = 0
-84 + 2s = 36 + 0
-84 + 2s = 36

Add '84' to each side of the equation.
-84 + 84 + 2s = 36 + 84

Combine like terms: -84 + 84 = 0
0 + 2s = 36 + 84
2s = 36 + 84

Combine like terms: 36 + 84 = 120
2s = 120

Divide each side by '2'.
s = 60

Simplifying
s = 60

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