2(8s+3)-3s=3(5s+5)-19

Solution for 2(8s+3)-3s=3(5s+5)-19 equation:

Simplifying
2(8s + 3) + -3s = 3(5s + 5) + -19

Reorder the terms:
2(3 + 8s) + -3s = 3(5s + 5) + -19
(3 * 2 + 8s * 2) + -3s = 3(5s + 5) + -19
(6 + 16s) + -3s = 3(5s + 5) + -19

Combine like terms: 16s + -3s = 13s
6 + 13s = 3(5s + 5) + -19

Reorder the terms:
6 + 13s = 3(5 + 5s) + -19
6 + 13s = (5 * 3 + 5s * 3) + -19
6 + 13s = (15 + 15s) + -19

Reorder the terms:
6 + 13s = 15 + -19 + 15s

Combine like terms: 15 + -19 = -4
6 + 13s = -4 + 15s

Solving
6 + 13s = -4 + 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 + 13s + -15s = -4 + 15s + -15s

Combine like terms: 13s + -15s = -2s
6 + -2s = -4 + 15s + -15s

Combine like terms: 15s + -15s = 0
6 + -2s = -4 + 0
6 + -2s = -4

Add '-6' to each side of the equation.
6 + -6 + -2s = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2s = -4 + -6
-2s = -4 + -6

Combine like terms: -4 + -6 = -10
-2s = -10

Divide each side by '-2'.
s = 5

Simplifying
s = 5