8(s+1)+4s+6=6(s+3)+2

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Solution for 8(s+1)+4s+6=6(s+3)+2 equation:


Simplifying
8(s + 1) + 4s + 6 = 6(s + 3) + 2

Reorder the terms:
8(1 + s) + 4s + 6 = 6(s + 3) + 2
(1 * 8 + s * 8) + 4s + 6 = 6(s + 3) + 2
(8 + 8s) + 4s + 6 = 6(s + 3) + 2

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

Combine like terms: 8 + 6 = 14
14 + 8s + 4s = 6(s + 3) + 2

Combine like terms: 8s + 4s = 12s
14 + 12s = 6(s + 3) + 2

Reorder the terms:
14 + 12s = 6(3 + s) + 2
14 + 12s = (3 * 6 + s * 6) + 2
14 + 12s = (18 + 6s) + 2

Reorder the terms:
14 + 12s = 18 + 2 + 6s

Combine like terms: 18 + 2 = 20
14 + 12s = 20 + 6s

Solving
14 + 12s = 20 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
14 + 12s + -6s = 20 + 6s + -6s

Combine like terms: 12s + -6s = 6s
14 + 6s = 20 + 6s + -6s

Combine like terms: 6s + -6s = 0
14 + 6s = 20 + 0
14 + 6s = 20

Add '-14' to each side of the equation.
14 + -14 + 6s = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 6s = 20 + -14
6s = 20 + -14

Combine like terms: 20 + -14 = 6
6s = 6

Divide each side by '6'.
s = 1

Simplifying
s = 1

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