50=3(s+13)-2(s-2)

Solution for 50=3(s+13)-2(s-2) equation:

Simplifying
50 = 3(s + 13) + -2(s + -2)

Reorder the terms:
50 = 3(13 + s) + -2(s + -2)
50 = (13 * 3 + s * 3) + -2(s + -2)
50 = (39 + 3s) + -2(s + -2)

Reorder the terms:
50 = 39 + 3s + -2(-2 + s)
50 = 39 + 3s + (-2 * -2 + s * -2)
50 = 39 + 3s + (4 + -2s)

Reorder the terms:
50 = 39 + 4 + 3s + -2s

Combine like terms: 39 + 4 = 43
50 = 43 + 3s + -2s

Combine like terms: 3s + -2s = 1s
50 = 43 + 1s

Solving
50 = 43 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
50 + -1s = 43 + 1s + -1s

Combine like terms: 1s + -1s = 0
50 + -1s = 43 + 0
50 + -1s = 43

Add '-50' to each side of the equation.
50 + -50 + -1s = 43 + -50

Combine like terms: 50 + -50 = 0
0 + -1s = 43 + -50
-1s = 43 + -50

Combine like terms: 43 + -50 = -7
-1s = -7

Divide each side by '-1'.
s = 7

Simplifying
s = 7