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

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

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

Reorder the terms:
3(-2 + 3s) = 3(5s + 1)
(-2 * 3 + 3s * 3) = 3(5s + 1)
(-6 + 9s) = 3(5s + 1)

Reorder the terms:
-6 + 9s = 3(1 + 5s)
-6 + 9s = (1 * 3 + 5s * 3)
-6 + 9s = (3 + 15s)

Solving
-6 + 9s = 3 + 15s

Solving for variable 's'.

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

Add '-15s' to each side of the equation.
-6 + 9s + -15s = 3 + 15s + -15s

Combine like terms: 9s + -15s = -6s
-6 + -6s = 3 + 15s + -15s

Combine like terms: 15s + -15s = 0
-6 + -6s = 3 + 0
-6 + -6s = 3

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

Combine like terms: -6 + 6 = 0
0 + -6s = 3 + 6
-6s = 3 + 6

Combine like terms: 3 + 6 = 9
-6s = 9

Divide each side by '-6'.
s = -1.5

Simplifying
s = -1.5