50=3s(3+16)-3(S-2)

Solution for 50=3s(3+16)-3(S-2) equation:

Simplifying
50 = 3s(3 + 16) + -3(S + -2)

Combine like terms: 3 + 16 = 19
50 = 3s(19) + -3(S + -2)

Reorder the terms for easier multiplication:
50 = 3 * 19s + -3(S + -2)

Multiply 3 * 19
50 = 57s + -3(S + -2)

Reorder the terms:
50 = 57s + -3(-2 + S)
50 = 57s + (-2 * -3 + S * -3)
50 = 57s + (6 + -3S)

Reorder the terms:
50 = 6 + -3S + 57s

Solving
50 = 6 + -3S + 57s

Solving for variable 'S'.

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

Add '3S' to each side of the equation.
50 + 3S = 6 + -3S + 3S + 57s

Combine like terms: -3S + 3S = 0
50 + 3S = 6 + 0 + 57s
50 + 3S = 6 + 57s

Add '-50' to each side of the equation.
50 + -50 + 3S = 6 + -50 + 57s

Combine like terms: 50 + -50 = 0
0 + 3S = 6 + -50 + 57s
3S = 6 + -50 + 57s

Combine like terms: 6 + -50 = -44
3S = -44 + 57s

Divide each side by '3'.
S = -14.66666667 + 19s

Simplifying
S = -14.66666667 + 19s