3(4s+3)-3=3(3s+5)+15

Solution for 3(4s+3)-3=3(3s+5)+15 equation:

Simplifying
3(4s + 3) + -3 = 3(3s + 5) + 15

Reorder the terms:
3(3 + 4s) + -3 = 3(3s + 5) + 15
(3 * 3 + 4s * 3) + -3 = 3(3s + 5) + 15
(9 + 12s) + -3 = 3(3s + 5) + 15

Reorder the terms:
9 + -3 + 12s = 3(3s + 5) + 15

Combine like terms: 9 + -3 = 6
6 + 12s = 3(3s + 5) + 15

Reorder the terms:
6 + 12s = 3(5 + 3s) + 15
6 + 12s = (5 * 3 + 3s * 3) + 15
6 + 12s = (15 + 9s) + 15

Reorder the terms:
6 + 12s = 15 + 15 + 9s

Combine like terms: 15 + 15 = 30
6 + 12s = 30 + 9s

Solving
6 + 12s = 30 + 9s

Solving for variable 's'.

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

Add '-9s' to each side of the equation.
6 + 12s + -9s = 30 + 9s + -9s

Combine like terms: 12s + -9s = 3s
6 + 3s = 30 + 9s + -9s

Combine like terms: 9s + -9s = 0
6 + 3s = 30 + 0
6 + 3s = 30

Add '-6' to each side of the equation.
6 + -6 + 3s = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 3s = 30 + -6
3s = 30 + -6

Combine like terms: 30 + -6 = 24
3s = 24

Divide each side by '3'.
s = 8

Simplifying
s = 8