3(5s-3)+15=5(s-1)-(4s+4)

Solution for 3(5s-3)+15=5(s-1)-(4s+4) equation:

Simplifying
3(5s + -3) + 15 = 5(s + -1) + -1(4s + 4)

Reorder the terms:
3(-3 + 5s) + 15 = 5(s + -1) + -1(4s + 4)
(-3 * 3 + 5s * 3) + 15 = 5(s + -1) + -1(4s + 4)
(-9 + 15s) + 15 = 5(s + -1) + -1(4s + 4)

Reorder the terms:
-9 + 15 + 15s = 5(s + -1) + -1(4s + 4)

Combine like terms: -9 + 15 = 6
6 + 15s = 5(s + -1) + -1(4s + 4)

Reorder the terms:
6 + 15s = 5(-1 + s) + -1(4s + 4)
6 + 15s = (-1 * 5 + s * 5) + -1(4s + 4)
6 + 15s = (-5 + 5s) + -1(4s + 4)

Reorder the terms:
6 + 15s = -5 + 5s + -1(4 + 4s)
6 + 15s = -5 + 5s + (4 * -1 + 4s * -1)
6 + 15s = -5 + 5s + (-4 + -4s)

Reorder the terms:
6 + 15s = -5 + -4 + 5s + -4s

Combine like terms: -5 + -4 = -9
6 + 15s = -9 + 5s + -4s

Combine like terms: 5s + -4s = 1s
6 + 15s = -9 + 1s

Solving
6 + 15s = -9 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
6 + 15s + -1s = -9 + 1s + -1s

Combine like terms: 15s + -1s = 14s
6 + 14s = -9 + 1s + -1s

Combine like terms: 1s + -1s = 0
6 + 14s = -9 + 0
6 + 14s = -9

Add '-6' to each side of the equation.
6 + -6 + 14s = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 14s = -9 + -6
14s = -9 + -6

Combine like terms: -9 + -6 = -15
14s = -15

Divide each side by '14'.
s = -1.071428571

Simplifying
s = -1.071428571