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

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


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

Reorder the terms:
5(-2 + s) = 3(s + 4)
(-2 * 5 + s * 5) = 3(s + 4)
(-10 + 5s) = 3(s + 4)

Reorder the terms:
-10 + 5s = 3(4 + s)
-10 + 5s = (4 * 3 + s * 3)
-10 + 5s = (12 + 3s)

Solving
-10 + 5s = 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.
-10 + 5s + -3s = 12 + 3s + -3s

Combine like terms: 5s + -3s = 2s
-10 + 2s = 12 + 3s + -3s

Combine like terms: 3s + -3s = 0
-10 + 2s = 12 + 0
-10 + 2s = 12

Add '10' to each side of the equation.
-10 + 10 + 2s = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 2s = 12 + 10
2s = 12 + 10

Combine like terms: 12 + 10 = 22
2s = 22

Divide each side by '2'.
s = 11

Simplifying
s = 11

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