3(s+1)-(s-1)*2=10-(5-3s)

Solution for 3(s+1)-(s-1)*2=10-(5-3s) equation:

Simplifying
3(s + 1) + -1(s + -1) * 2 = 10 + -1(5 + -3s)

Reorder the terms:
3(1 + s) + -1(s + -1) * 2 = 10 + -1(5 + -3s)
(1 * 3 + s * 3) + -1(s + -1) * 2 = 10 + -1(5 + -3s)
(3 + 3s) + -1(s + -1) * 2 = 10 + -1(5 + -3s)

Reorder the terms:
3 + 3s + -1(-1 + s) * 2 = 10 + -1(5 + -3s)

Reorder the terms for easier multiplication:
3 + 3s + -1 * 2(-1 + s) = 10 + -1(5 + -3s)

Multiply -1 * 2
3 + 3s + -2(-1 + s) = 10 + -1(5 + -3s)
3 + 3s + (-1 * -2 + s * -2) = 10 + -1(5 + -3s)
3 + 3s + (2 + -2s) = 10 + -1(5 + -3s)

Reorder the terms:
3 + 2 + 3s + -2s = 10 + -1(5 + -3s)

Combine like terms: 3 + 2 = 5
5 + 3s + -2s = 10 + -1(5 + -3s)

Combine like terms: 3s + -2s = 1s
5 + 1s = 10 + -1(5 + -3s)
5 + 1s = 10 + (5 * -1 + -3s * -1)
5 + 1s = 10 + (-5 + 3s)

Combine like terms: 10 + -5 = 5
5 + 1s = 5 + 3s

Add '-5' to each side of the equation.
5 + -5 + 1s = 5 + -5 + 3s

Combine like terms: 5 + -5 = 0
0 + 1s = 5 + -5 + 3s
1s = 5 + -5 + 3s

Combine like terms: 5 + -5 = 0
1s = 0 + 3s
1s = 3s

Solving
1s = 3s

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.
1s + -3s = 3s + -3s

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

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

Divide each side by '-2'.
s = 0

Simplifying
s = 0