8s-(5s+6)=12(20+6s)

Solution for 8s-(5s+6)=12(20+6s) equation:

Simplifying
8s + -1(5s + 6) = 12(20 + 6s)

Reorder the terms:
8s + -1(6 + 5s) = 12(20 + 6s)
8s + (6 * -1 + 5s * -1) = 12(20 + 6s)
8s + (-6 + -5s) = 12(20 + 6s)

Reorder the terms:
-6 + 8s + -5s = 12(20 + 6s)

Combine like terms: 8s + -5s = 3s
-6 + 3s = 12(20 + 6s)
-6 + 3s = (20 * 12 + 6s * 12)
-6 + 3s = (240 + 72s)

Solving
-6 + 3s = 240 + 72s

Solving for variable 's'.

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

Add '-72s' to each side of the equation.
-6 + 3s + -72s = 240 + 72s + -72s

Combine like terms: 3s + -72s = -69s
-6 + -69s = 240 + 72s + -72s

Combine like terms: 72s + -72s = 0
-6 + -69s = 240 + 0
-6 + -69s = 240

Add '6' to each side of the equation.
-6 + 6 + -69s = 240 + 6

Combine like terms: -6 + 6 = 0
0 + -69s = 240 + 6
-69s = 240 + 6

Combine like terms: 240 + 6 = 246
-69s = 246

Divide each side by '-69'.
s = -3.565217391

Simplifying
s = -3.565217391