3.8(S-6)+4.6=(-22)

Solution for 3.8(S-6)+4.6=(-22) equation:

Simplifying
3.8(S + -6) + 4.6 = (-22)

Reorder the terms:
3.8(-6 + S) + 4.6 = (-22)
(-6 * 3.8 + S * 3.8) + 4.6 = (-22)
(-22.8 + 3.8S) + 4.6 = (-22)

Reorder the terms:
-22.8 + 4.6 + 3.8S = (-22)

Combine like terms: -22.8 + 4.6 = -18.2
-18.2 + 3.8S = (-22)
-18.2 + 3.8S = -22

Solving
-18.2 + 3.8S = -22

Solving for variable 'S'.

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

Add '18.2' to each side of the equation.
-18.2 + 18.2 + 3.8S = -22 + 18.2

Combine like terms: -18.2 + 18.2 = 0.0
0.0 + 3.8S = -22 + 18.2
3.8S = -22 + 18.2

Combine like terms: -22 + 18.2 = -3.8
3.8S = -3.8

Divide each side by '3.8'.
S = -1

Simplifying
S = -1