3(s-2)+8=5(s+4)

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Solution for 3(s-2)+8=5(s+4) equation: 


Simplifying
3(s + -2) + 8 = 5(s + 4)

Reorder the terms:
3(-2 + s) + 8 = 5(s + 4)
(-2 * 3 + s * 3) + 8 = 5(s + 4)
(-6 + 3s) + 8 = 5(s + 4)

Reorder the terms:
-6 + 8 + 3s = 5(s + 4)

Combine like terms: -6 + 8 = 2
2 + 3s = 5(s + 4)

Reorder the terms:
2 + 3s = 5(4 + s)
2 + 3s = (4 * 5 + s * 5)
2 + 3s = (20 + 5s)

Solving
2 + 3s = 20 + 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.
2 + 3s + -5s = 20 + 5s + -5s

Combine like terms: 3s + -5s = -2s
2 + -2s = 20 + 5s + -5s

Combine like terms: 5s + -5s = 0
2 + -2s = 20 + 0
2 + -2s = 20

Add '-2' to each side of the equation.
2 + -2 + -2s = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -2s = 20 + -2
-2s = 20 + -2

Combine like terms: 20 + -2 = 18
-2s = 18

Divide each side by '-2'.
s = -9

Simplifying
s = -9

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