6(s+1)+2=8(s-3)+5

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Solution for 6(s+1)+2=8(s-3)+5 equation: 


Simplifying
6(s + 1) + 2 = 8(s + -3) + 5

Reorder the terms:
6(1 + s) + 2 = 8(s + -3) + 5
(1 * 6 + s * 6) + 2 = 8(s + -3) + 5
(6 + 6s) + 2 = 8(s + -3) + 5

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

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

Reorder the terms:
8 + 6s = 8(-3 + s) + 5
8 + 6s = (-3 * 8 + s * 8) + 5
8 + 6s = (-24 + 8s) + 5

Reorder the terms:
8 + 6s = -24 + 5 + 8s

Combine like terms: -24 + 5 = -19
8 + 6s = -19 + 8s

Solving
8 + 6s = -19 + 8s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-8s' to each side of the equation.
8 + 6s + -8s = -19 + 8s + -8s

Combine like terms: 6s + -8s = -2s
8 + -2s = -19 + 8s + -8s

Combine like terms: 8s + -8s = 0
8 + -2s = -19 + 0
8 + -2s = -19

Add '-8' to each side of the equation.
8 + -8 + -2s = -19 + -8

Combine like terms: 8 + -8 = 0
0 + -2s = -19 + -8
-2s = -19 + -8

Combine like terms: -19 + -8 = -27
-2s = -27

Divide each side by '-2'.
s = 13.5

Simplifying
s = 13.5

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