2(s+5)=5(s+8)

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


Simplifying
2(s + 5) = 5(s + 8)

Reorder the terms:
2(5 + s) = 5(s + 8)
(5 * 2 + s * 2) = 5(s + 8)
(10 + 2s) = 5(s + 8)

Reorder the terms:
10 + 2s = 5(8 + s)
10 + 2s = (8 * 5 + s * 5)
10 + 2s = (40 + 5s)

Solving
10 + 2s = 40 + 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.
10 + 2s + -5s = 40 + 5s + -5s

Combine like terms: 2s + -5s = -3s
10 + -3s = 40 + 5s + -5s

Combine like terms: 5s + -5s = 0
10 + -3s = 40 + 0
10 + -3s = 40

Add '-10' to each side of the equation.
10 + -10 + -3s = 40 + -10

Combine like terms: 10 + -10 = 0
0 + -3s = 40 + -10
-3s = 40 + -10

Combine like terms: 40 + -10 = 30
-3s = 30

Divide each side by '-3'.
s = -10

Simplifying
s = -10

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