5S-2+3(S+11)=5

Solution for 5S-2+3(S+11)=5 equation:

Simplifying
5S + -2 + 3(S + 11) = 5

Reorder the terms:
5S + -2 + 3(11 + S) = 5
5S + -2 + (11 * 3 + S * 3) = 5
5S + -2 + (33 + 3S) = 5

Reorder the terms:
-2 + 33 + 5S + 3S = 5

Combine like terms: -2 + 33 = 31
31 + 5S + 3S = 5

Combine like terms: 5S + 3S = 8S
31 + 8S = 5

Solving
31 + 8S = 5

Solving for variable 'S'.

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

Add '-31' to each side of the equation.
31 + -31 + 8S = 5 + -31

Combine like terms: 31 + -31 = 0
0 + 8S = 5 + -31
8S = 5 + -31

Combine like terms: 5 + -31 = -26
8S = -26

Divide each side by '8'.
S = -3.25

Simplifying
S = -3.25