S-(3-s)=5-(2s+6)

Solution for S-(3-s)=5-(2s+6) equation:

Simplifying
S + -1(3 + -1s) = 5 + -1(2s + 6)
S + (3 * -1 + -1s * -1) = 5 + -1(2s + 6)
S + (-3 + 1s) = 5 + -1(2s + 6)

Reorder the terms:
-3 + S + 1s = 5 + -1(2s + 6)

Reorder the terms:
-3 + S + 1s = 5 + -1(6 + 2s)
-3 + S + 1s = 5 + (6 * -1 + 2s * -1)
-3 + S + 1s = 5 + (-6 + -2s)

Combine like terms: 5 + -6 = -1
-3 + S + 1s = -1 + -2s

Solving
-3 + S + 1s = -1 + -2s

Solving for variable 'S'.

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

Add '3' to each side of the equation.
-3 + S + 3 + 1s = -1 + 3 + -2s

Reorder the terms:
-3 + 3 + S + 1s = -1 + 3 + -2s

Combine like terms: -3 + 3 = 0
0 + S + 1s = -1 + 3 + -2s
S + 1s = -1 + 3 + -2s

Combine like terms: -1 + 3 = 2
S + 1s = 2 + -2s

Add '-1s' to each side of the equation.
S + 1s + -1s = 2 + -2s + -1s

Combine like terms: 1s + -1s = 0
S + 0 = 2 + -2s + -1s
S = 2 + -2s + -1s

Combine like terms: -2s + -1s = -3s
S = 2 + -3s

Simplifying
S = 2 + -3s