3(s-11)+9s=2(s+3)+1

Solution for 3(s-11)+9s=2(s+3)+1 equation:

Simplifying
3(s + -11) + 9s = 2(s + 3) + 1

Reorder the terms:
3(-11 + s) + 9s = 2(s + 3) + 1
(-11 * 3 + s * 3) + 9s = 2(s + 3) + 1
(-33 + 3s) + 9s = 2(s + 3) + 1

Combine like terms: 3s + 9s = 12s
-33 + 12s = 2(s + 3) + 1

Reorder the terms:
-33 + 12s = 2(3 + s) + 1
-33 + 12s = (3 * 2 + s * 2) + 1
-33 + 12s = (6 + 2s) + 1

Reorder the terms:
-33 + 12s = 6 + 1 + 2s

Combine like terms: 6 + 1 = 7
-33 + 12s = 7 + 2s

Solving
-33 + 12s = 7 + 2s

Solving for variable 's'.

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

Add '-2s' to each side of the equation.
-33 + 12s + -2s = 7 + 2s + -2s

Combine like terms: 12s + -2s = 10s
-33 + 10s = 7 + 2s + -2s

Combine like terms: 2s + -2s = 0
-33 + 10s = 7 + 0
-33 + 10s = 7

Add '33' to each side of the equation.
-33 + 33 + 10s = 7 + 33

Combine like terms: -33 + 33 = 0
0 + 10s = 7 + 33
10s = 7 + 33

Combine like terms: 7 + 33 = 40
10s = 40

Divide each side by '10'.
s = 4

Simplifying
s = 4