5(s-2)-24=3(s+2)

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Solution for 5(s-2)-24=3(s+2) equation:


Simplifying
5(s + -2) + -24 = 3(s + 2)

Reorder the terms:
5(-2 + s) + -24 = 3(s + 2)
(-2 * 5 + s * 5) + -24 = 3(s + 2)
(-10 + 5s) + -24 = 3(s + 2)

Reorder the terms:
-10 + -24 + 5s = 3(s + 2)

Combine like terms: -10 + -24 = -34
-34 + 5s = 3(s + 2)

Reorder the terms:
-34 + 5s = 3(2 + s)
-34 + 5s = (2 * 3 + s * 3)
-34 + 5s = (6 + 3s)

Solving
-34 + 5s = 6 + 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.
-34 + 5s + -3s = 6 + 3s + -3s

Combine like terms: 5s + -3s = 2s
-34 + 2s = 6 + 3s + -3s

Combine like terms: 3s + -3s = 0
-34 + 2s = 6 + 0
-34 + 2s = 6

Add '34' to each side of the equation.
-34 + 34 + 2s = 6 + 34

Combine like terms: -34 + 34 = 0
0 + 2s = 6 + 34
2s = 6 + 34

Combine like terms: 6 + 34 = 40
2s = 40

Divide each side by '2'.
s = 20

Simplifying
s = 20

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