8+13s-2=6s+42-2s

Solution for 8+13s-2=6s+42-2s equation:

Simplifying
8 + 13s + -2 = 6s + 42 + -2s

Reorder the terms:
8 + -2 + 13s = 6s + 42 + -2s

Combine like terms: 8 + -2 = 6
6 + 13s = 6s + 42 + -2s

Reorder the terms:
6 + 13s = 42 + 6s + -2s

Combine like terms: 6s + -2s = 4s
6 + 13s = 42 + 4s

Solving
6 + 13s = 42 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
6 + 13s + -4s = 42 + 4s + -4s

Combine like terms: 13s + -4s = 9s
6 + 9s = 42 + 4s + -4s

Combine like terms: 4s + -4s = 0
6 + 9s = 42 + 0
6 + 9s = 42

Add '-6' to each side of the equation.
6 + -6 + 9s = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9s = 42 + -6
9s = 42 + -6

Combine like terms: 42 + -6 = 36
9s = 36

Divide each side by '9'.
s = 4

Simplifying
s = 4