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

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

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

Solving
1 + 1s = 5 + 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.
1 + 1s + -3s = 5 + 3s + -3s

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

Combine like terms: 3s + -3s = 0
1 + -2s = 5 + 0
1 + -2s = 5

Add '-1' to each side of the equation.
1 + -1 + -2s = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -2s = 5 + -1
-2s = 5 + -1

Combine like terms: 5 + -1 = 4
-2s = 4

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

Simplifying
s = -2