8s-(5s+6)=0.5(20+65)

Solution for 8s-(5s+6)=0.5(20+65) equation:

Simplifying
8s + -1(5s + 6) = 0.5(20 + 65)

Reorder the terms:
8s + -1(6 + 5s) = 0.5(20 + 65)
8s + (6 * -1 + 5s * -1) = 0.5(20 + 65)
8s + (-6 + -5s) = 0.5(20 + 65)

Reorder the terms:
-6 + 8s + -5s = 0.5(20 + 65)

Combine like terms: 8s + -5s = 3s
-6 + 3s = 0.5(20 + 65)

Combine like terms: 20 + 65 = 85
-6 + 3s = 0.5(85)

Multiply 0.5 * 85
-6 + 3s = 42.5

Solving
-6 + 3s = 42.5

Solving for variable 's'.

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

Add '6' to each side of the equation.
-6 + 6 + 3s = 42.5 + 6

Combine like terms: -6 + 6 = 0
0 + 3s = 42.5 + 6
3s = 42.5 + 6

Combine like terms: 42.5 + 6 = 48.5
3s = 48.5

Divide each side by '3'.
s = 16.16666667

Simplifying
s = 16.16666667