8s-(5s+6)=50(20+6s)

Solution for 8s-(5s+6)=50(20+6s) equation:

Simplifying
8s + -1(5s + 6) = 50(20 + 6s)

Reorder the terms:
8s + -1(6 + 5s) = 50(20 + 6s)
8s + (6 * -1 + 5s * -1) = 50(20 + 6s)
8s + (-6 + -5s) = 50(20 + 6s)

Reorder the terms:
-6 + 8s + -5s = 50(20 + 6s)

Combine like terms: 8s + -5s = 3s
-6 + 3s = 50(20 + 6s)
-6 + 3s = (20 * 50 + 6s * 50)
-6 + 3s = (1000 + 300s)

Solving
-6 + 3s = 1000 + 300s

Solving for variable 's'.

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

Add '-300s' to each side of the equation.
-6 + 3s + -300s = 1000 + 300s + -300s

Combine like terms: 3s + -300s = -297s
-6 + -297s = 1000 + 300s + -300s

Combine like terms: 300s + -300s = 0
-6 + -297s = 1000 + 0
-6 + -297s = 1000

Add '6' to each side of the equation.
-6 + 6 + -297s = 1000 + 6

Combine like terms: -6 + 6 = 0
0 + -297s = 1000 + 6
-297s = 1000 + 6

Combine like terms: 1000 + 6 = 1006
-297s = 1006

Divide each side by '-297'.
s = -3.387205387

Simplifying
s = -3.387205387