-3s+3(3s+1)=2(4s-1)+3

Solution for -3s+3(3s+1)=2(4s-1)+3 equation:

Simplifying
-3s + 3(3s + 1) = 2(4s + -1) + 3

Reorder the terms:
-3s + 3(1 + 3s) = 2(4s + -1) + 3
-3s + (1 * 3 + 3s * 3) = 2(4s + -1) + 3
-3s + (3 + 9s) = 2(4s + -1) + 3

Reorder the terms:
3 + -3s + 9s = 2(4s + -1) + 3

Combine like terms: -3s + 9s = 6s
3 + 6s = 2(4s + -1) + 3

Reorder the terms:
3 + 6s = 2(-1 + 4s) + 3
3 + 6s = (-1 * 2 + 4s * 2) + 3
3 + 6s = (-2 + 8s) + 3

Reorder the terms:
3 + 6s = -2 + 3 + 8s

Combine like terms: -2 + 3 = 1
3 + 6s = 1 + 8s

Solving
3 + 6s = 1 + 8s

Solving for variable 's'.

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

Add '-8s' to each side of the equation.
3 + 6s + -8s = 1 + 8s + -8s

Combine like terms: 6s + -8s = -2s
3 + -2s = 1 + 8s + -8s

Combine like terms: 8s + -8s = 0
3 + -2s = 1 + 0
3 + -2s = 1

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

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

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

Divide each side by '-2'.
s = 1

Simplifying
s = 1