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

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


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

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

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

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

Reorder the terms:
8 + 2s = 5(-3 + s) + 5
8 + 2s = (-3 * 5 + s * 5) + 5
8 + 2s = (-15 + 5s) + 5

Reorder the terms:
8 + 2s = -15 + 5 + 5s

Combine like terms: -15 + 5 = -10
8 + 2s = -10 + 5s

Solving
8 + 2s = -10 + 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.
8 + 2s + -5s = -10 + 5s + -5s

Combine like terms: 2s + -5s = -3s
8 + -3s = -10 + 5s + -5s

Combine like terms: 5s + -5s = 0
8 + -3s = -10 + 0
8 + -3s = -10

Add '-8' to each side of the equation.
8 + -8 + -3s = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3s = -10 + -8
-3s = -10 + -8

Combine like terms: -10 + -8 = -18
-3s = -18

Divide each side by '-3'.
s = 6

Simplifying
s = 6

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