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 = -35
-35 + 5s + 3s = 5

Combine like terms: 5s + 3s = 8s
-35 + 8s = 5

Solving
-35 + 8s = 5

Solving for variable 's'.

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

Add '35' to each side of the equation.
-35 + 35 + 8s = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 8s = 5 + 35
8s = 5 + 35

Combine like terms: 5 + 35 = 40
8s = 40

Divide each side by '8'.
s = 5

Simplifying
s = 5