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

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

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

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

Reorder the terms:
3 + 9s = 2(2 + 4s)
3 + 9s = (2 * 2 + 4s * 2)
3 + 9s = (4 + 8s)

Solving
3 + 9s = 4 + 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 + 9s + -8s = 4 + 8s + -8s

Combine like terms: 9s + -8s = 1s
3 + 1s = 4 + 8s + -8s

Combine like terms: 8s + -8s = 0
3 + 1s = 4 + 0
3 + 1s = 4

Add '-3' to each side of the equation.
3 + -3 + 1s = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 1s = 4 + -3
1s = 4 + -3

Combine like terms: 4 + -3 = 1
1s = 1

Divide each side by '1'.
s = 1

Simplifying
s = 1