8s-(5s+6)=0.2(20+6s)

Solution for 8s-(5s+6)=0.2(20+6s) equation:

Simplifying
8s + -1(5s + 6) = 0.2(20 + 6s)

Reorder the terms:
8s + -1(6 + 5s) = 0.2(20 + 6s)
8s + (6 * -1 + 5s * -1) = 0.2(20 + 6s)
8s + (-6 + -5s) = 0.2(20 + 6s)

Reorder the terms:
-6 + 8s + -5s = 0.2(20 + 6s)

Combine like terms: 8s + -5s = 3s
-6 + 3s = 0.2(20 + 6s)
-6 + 3s = (20 * 0.2 + 6s * 0.2)
-6 + 3s = (4 + 1.2s)

Solving
-6 + 3s = 4 + 1.2s

Solving for variable 's'.

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

Add '-1.2s' to each side of the equation.
-6 + 3s + -1.2s = 4 + 1.2s + -1.2s

Combine like terms: 3s + -1.2s = 1.8s
-6 + 1.8s = 4 + 1.2s + -1.2s

Combine like terms: 1.2s + -1.2s = 0.0
-6 + 1.8s = 4 + 0.0
-6 + 1.8s = 4

Add '6' to each side of the equation.
-6 + 6 + 1.8s = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 1.8s = 4 + 6
1.8s = 4 + 6

Combine like terms: 4 + 6 = 10
1.8s = 10

Divide each side by '1.8'.
s = 5.555555556

Simplifying
s = 5.555555556