6(2s-3)=3(s+1)

Solution for 6(2s-3)=3(s+1) equation:

Simplifying
6(2s + -3) = 3(s + 1)

Reorder the terms:
6(-3 + 2s) = 3(s + 1)
(-3 * 6 + 2s * 6) = 3(s + 1)
(-18 + 12s) = 3(s + 1)

Reorder the terms:
-18 + 12s = 3(1 + s)
-18 + 12s = (1 * 3 + s * 3)
-18 + 12s = (3 + 3s)

Solving
-18 + 12s = 3 + 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.
-18 + 12s + -3s = 3 + 3s + -3s

Combine like terms: 12s + -3s = 9s
-18 + 9s = 3 + 3s + -3s

Combine like terms: 3s + -3s = 0
-18 + 9s = 3 + 0
-18 + 9s = 3

Add '18' to each side of the equation.
-18 + 18 + 9s = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 9s = 3 + 18
9s = 3 + 18

Combine like terms: 3 + 18 = 21
9s = 21

Divide each side by '9'.
s = 2.333333333

Simplifying
s = 2.333333333